Use logarithms to solve the problem.
How long will it take $12,000 to grow to $17,000 if the investment earns interest at the rate of 4%/year compounded monthly? (Round your answer to two decimal places.)
yr
Answers
Answer:
\(12000 ( {1 + \frac{.04}{12}) }^{12t} = 17000\)
\( {( \frac{301}{300}) }^{12t} = \frac{17}{12} \)
\(12t (ln(301) - ln(300) ) = ln(17) - ln(12) \)
\(t = \frac{ ln(17) - ln(12) }{12( ln(301) - ln(300) )} = 8.72 \: years\)
Related Questions
A closet in the shape of a rectangular prism is 2 feet deep, 5 feet wide, and 7 feet tall. What is the volume of the closet in cubic feet?
Answers
Answer:
70 cm
Step-by-step explanation:
Answer:
70 cubic feet
Step-by-step explanation:
First step is to multiply the 2 feet deep by th 5 feet wide. which is also written as:
2*5=10
Next multiply 10 by the 7 feet tall. You can write this like:
10*7=70
70 cubic feet is the answer
d) Suppose you begin making a monthly payment of $75.00. Fill in the table.
Month Current balance
1
2
3
4
5
6
7
8
9
10
11
12
WYPIE
$2750.00
Interest
$45.38
Payment
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
Amount applied to principal
$29.62
Answers
Answer:
Step-by-step explanation:
Answer:
For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.
For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.
Point of view:
Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!
:)
Rewrite 1/4 / 1/3 as a unit rate
Answers
Answer:
0.25 and 0.33?
Step-by-step explanation:
can you help me solve 2y-18x=-26 for y
Answers
Answer:
\(y=9x-13\)
Step-by-step explanation:
Start with:
\(2y-18x=-26\)
Add \(18x\) to both sides of the equation:
\(2y=18x-26\)
Divide both sides of the equation by the coefficient of \(y\), which is \(2\):
\(y=9x-13\)
Ms. Smith allows her students to choose the mean, median, or mode of their set of test scores to be their final grade. Which measure of center should Erica use to get the highest average if her scores are 80, 90, 70, 60, 90?
Answers
Answer:
Mode
Step-by-step explanation:
because 90 is the grade that shows up the most!
I hope I helped :)
Measure of center that Erica should use is mode to get the highest average on her scores.
What is Mean, Median and Mode?For a set of data, mean is the average of all the elements in the data set.
Median is the element in the exact middle when numbers are arranged from smallest to largest or largest to smallest.
Mode is the element which is most repeated.
The given data set is,
80, 90, 70, 60, 90
Mean = (80 + 90 + 70 + 60 + 90) / 5 = 78
To find median, firstly arrange the numbers in order.
60, 70, 80, 90, 90
The middle element is the element in the third place, 80 which is the median.
90 is the only element which appears more than once. So mode is 90.
Mode gives the highest score.
Hence Erica should use mode as the measure of center to get the highest average.
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PLEAS HELP
Questions
1. A company secretary has an investment opportunity in which a lending institution offers her an interest
rate of 4.0% compounded quarterly. If she decides to invest an amount of K6000 under the scheme for 8
years, calculate:
(a) the accumulated factor
(b) the accumulated value
(c) the total compound interest earned
[2 marks]
[2 marks]
[2 marks]
2. Suppose the lending institution in question 1 offers the secretary an alternative deal in which she would
earn simple interest at a rate of 4.6% per annum over 8 years. Which deal should she accept?
[5 marks]
3. Suppose that K200 has amounted to K310 in 10 years with interest compounded semi-annually. What
annual rate of compound interest was used?
[4 marks]
4. A UOG tutor is anxious to purchase a used car, for which he estimates that will need a total of K8000. He
currently has K6200 and is offered two different investment plans, A and B. Under Plan A he would be paid
simple interest at an annual rate of 5.4%, and under Plan B he would be paid an annual interest rate of 4.8%
compounded monthly.
Under each plan, how long would it be before he reached his target of K8000?
[6 marks]
Page 1 of 2
5. An amount of K5000 is invested at an interest rate of 4% per annum, compounded annually. Find the
accumulation factor, the accumulated value and total amount of compound interest earned after:
(a) 2 years
[6 marks]
(b) 5 years
[6 marks]
6. A retired police officer invests K5000 in a credit union that pays an interest rate of 5% per annum,
compounded quarterly. Exactly 2 years later she invests a further K6000 with the credit union under the
same conditions. How much total interest will she have earned 5 years after the original investment?
[10 marks]****
7. The Bank South Pacific Limited is offering ‘unbeatable deals’ on its savings accounts, where it will pay
investors interest that is compounded quarterly at an annual rate of 4%. Sharon wants to save K10 000 to
purchase a car, but has only K8000 to invest in the savings account on 1 June 2001. Under the bank’s deal,
on approximately what date will Sharon reach her target?
[4 marks]
8. Mr Simon Kila opens a shopfront business where he will lend money to anyone (without security) if they
are willing to pay his interest rate of 2% per week compounded daily. The first customer borrows K5000 to
buy a used car, but is unable to pay Mr Simon Kila back for 12 weeks. How much will the customer have to
pay back at this time?
Answers
1a. The accumulated factor is 1.5986.
b. The accumulated value is K9591.60
c. The total compound interest earned is K3591.60.
2. Deal 1 is better since it gives a higher amount, K3591.60, of interest earned compared to Deal 2, of K2273.60.
3. The annual compound interest rate used is 5.42%.
4a. Under Plan A, it would take 5.38 years to reach his target of K8000.
b. It would take him 3.65 years to reach his target. under Plan B.
5a. Accumulation factor is 1.0816, accumulated value is K5408, and the total compound interest earned is K408.
b. Accumulation factor is 1.2167, the accumulated value is K6083.50, and the total compound interest earned is K1083.50
6. Total interest she will earn 5 years after the original investment is K4,595.69.
7. Sharon will reach her target in approximately June 2002 which is approx. 1.07 years.
8. The customer will have to pay back K6757.61 after 12 weeks.
How to compute compound interest?1. (a) The accumulated factor is calculated as follows:
i = 4.0% per year, compounded quarterly
n = 8 years × 4 quarters per year = 32 quarters
Using the formula for the accumulated factor for quarterly compounding:
F = \((1 + i)^{n}\) = \((1 + 0.04/4)^{32}\) = 1.5986
Accumulated factor = 1.5986.
(b) Accumulated value: accumulated factor * principal amount:
A = F × P = 1.5986 × K6000 = K9591.60
Accumulated value = K9591.60.
(c) The total compound interest earned: principal -accumulated value:
I = A - P = K9591.60 - K6000 = K3591.60
Compound interest earned =K3591.60.
2. To compare the two deals, we will calculate the total amount of interest earned under each one.
Under Deal 1, interest is compounded quarterly:
I = A - P = K9591.60 - K6000 = K3591.60
Under Deal 2: We shall use the formula: I = P × r × t
P = principal amount,
r = interest rate,
t = time in years.
I = K6200 × 0.046 × 8 = K2273.60
This means that the first deal is better since it gives a higher total amount of interest earned.
3. The annual interest rate:
Given::
P = K200
A = K310
n = 2 (compounded twice per year)
t = 10 years
A = \(P (1 + r/n)^{(nt)}\)
A = accumulated value,
P = principal amount,
r = interest rate,
n = number of times the interest is compounded per year,
t = time in years.
310 = \(200 (1 + r/2)^{(2 * 10)}\)
1.55 = \((1 + r/2)^{20}\)
Taking the 20th root of both sides, we get:
1 + r/2 = 1.0271
r/2 = 0.0271
r = 0.0542
Annual compound interest rate = 5.42%.
4. (a) Under Plan A,
Using I = P × r × t, we have:
I = K8000 - K6200 = K1800
r = 5.4%
t = I / (P × r) = K1800 / (K6200 × 0.054) = K334.80
To reach K8000, the tutor will need to earn K1800 in interest, so he is to invest for:
K1800 / K334.80 = 5.38 years
(b) Under Plan B, interest is compounded monthly. using the formula A = \(P (1 + r/n)^{(nt)}\)
Monthly interest rate:
0.048 / 12 = 0.004
The amount of interest earned in one month is:
K6200 x 0.004 = K24.80
To reach K8000, the tutor will need to earn K1800 in interest, so he has to invest for:
log(K8000/K6200) / log(1+0.004) = 43.76 months
= 43.76/12
= 3.65 years.
5(a) After 2 years, the accumulation factor is:
\((1 + 0.04)^{2}\) = 1.0816
The accumulated value is:
K5000 x 1.0816 = K5408
Total compound interest earned is:
K5408 - K5000 = K408
(b) After 5 years, the accumulation factor is:
(1 + 0.04)⁵ = 1.2167
The accumulated value is:
K5000 x 1.2167 = K6083.50
The total amount of compound interest earned is:
K6083.50 - K5000 = K1083.50
6. Amount invested is K5000 + K6000 = K11,000.
Interest rate = 5% per annum compounded quarterly, so the quarterly interest rate is 1.25%.
The number of quarters in 5 years is 20.
Accumulated value after 5 years is:
\(K11,000 (1 + 0.0125)^{20}\) = K15,595.69
The total interest earned is:
K15,595.69 - K11,000 = K4,595.69
7. To calculate the time taken to reach K10,000, we use the compound interest formula:
\(K8000 (1 + 0.04/4)^{4t}\) = K10,000
where t = time in years.
t = log(K10,000/K8000) / (4 log(1 + 0.04/4)) = 4.28 quarters
4 quarters in a year is ≈ 1.07 years, so Sharon will reach her target in approximately June 2002.
8. Weekly interest rate = 2%,
So daily interest rate ≈ 0.0286%.
The amount owed after 12 weeks:
\(K5000 (1 + 0.000286)^{84}\) = K6757.61
The customer will pay back K6757.61 after 12 weeks
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An office manager believes that the percentage of employees arriving late is even greater than the previously claimed 7%. She conducts a hypothesis test on a random 200 employee arrivals and finds 23 punching in late. Is this strong evidence against the 0.07 claim?
answer choices
Yes, p-value is 0.0062
Yes, p-value is 2.5
No, p-value is only 0.0062
No, p-value is over 0.10
There is insufficient information to reach a conclusion.
Answers
We do not have strong evidence against the 0.07 claim so, the correct answer is: No, the p-value is over 0.10.
Let's calculate the p-value and compare it to the level of significance (alpha) to determine if there is strong evidence against the 0.07 claim.
Let p be the true proportion of employees arriving late. The null hypothesis is that p = 0.07 and the alternative hypothesis is that p > 0.07.
The sample proportion of employees arriving late is x/n = 23/200 = 0.115. Under the null hypothesis, the sampling distribution of the sample proportion follows a normal distribution with a mean of 0.07 and standard deviation \(\sqrt{((0.07 * 0.93) / 200)}\) = 0.0319.
The z-score corresponding to the sample proportion is (0.115 - 0.07) / 0.0319 = 1.41. The p-value is the probability of observing a z-score greater than or equal to 1.41 under the null hypothesis, which can be calculated as P(Z >= 1.41) = 0.078.
Since the p-value is greater than the level of significance alpha (which is typically 0.05 or 0.01), we fail to reject the null hypothesis that the true proportion of employees arriving late is 0.07.
Therefore, we do not have strong evidence against the 0.07 claim so, the correct answer is: No, the p-value is over 0.10.
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a. Find the arc length function for the curve measured from the point P in the direction of increasing t and then reparametrize the curve with respect to arc length starting from P.
b. Find the point 4 units along the curve (in the direction of increasing t) from P.
r(t) = et sin t i + √2 et k, P(0, l ,√2)
Answers
The correct question has r(t) = e^t sint i + e^t cost j + √2 e^t k
Answer:
(a) 2e^t
(b) r(t) = (L/2 + 1)sin(ln|L/2 + 1|) i + (L/2 + 1)cos(ln|L/2 + 1|) j + √2(L/2 + 1) k
Step-by-step explanation:
Given r(t) = e^t sint i + e^t cost j + √2 e^t k
(a) To find the arc length of the function, we first differentiate r(t) to obtain r'(t). Doing this, we have
r'(t) = (cost + sint)e^t i + (cost - sint)e^t j + √2 e^t k
Next, we find the magnitude of r'(t). Doing this, we obtain
|r'(t)| = √{[(cost + sint)e^t]² + [(cost - sint)e^t]²+ (√2 e^t)² k}
= √(4e^(2t))
= 2e^t
(b) Now, because t = 0 corresponds with the (0, 1, √2), we have the arc length function, L to be the integral from 0 to t of |r'(v)|dv
L = integral of 2e^v dv from v = 0 to t.
Evaluation the integral, we have
L = 2e^t - 2e^0
= 2e^t - 2
L = 2(e^t - 1)
Let us make t the subject of the formula.
Divide both sides by 2
L/2 = e^t - 1
Adding 1 to both sides
L/2 + 1 = e^t
e^t = L/2 + 1
Taking natural logarithm of both sides
t = ln|L/2 + 1|
Finally, we put t = ln|L/2 + 1| in the original equation, r(t) we were given to have
r(t) = (L/2 + 1)sin(ln|L/2 + 1|) i + (L/2 + 1)cos(ln|L/2 + 1|) j + √2(L/2 + 1) k
In this exercise we have to use the knowledge of arc length of a function, thus we find that:
(a) \(2e^t\)
(b)\(r(t) = (L/2 + 1)sin(ln|L/2 + 1|) + (L/2 + 1)cos(ln|L/2 + 1|) + \sqrt 2(L/2 + 1)\)
Given the function as:
\(r(t) = e^t sin(t) + e^t cos(t) + \sqrt{2 e^t }\)
(a) To find the arc length of the function, we have:
\(r'(t) = (cost + sint)e^t + (cost - sint)e^t+ \sqrt2 e^t\\|r'(t)| = \sqrt{[(cost + sint)e^t]^2 + [(cost - sint)e^t]^2+ (\sqrt2 e^t)^2 }\\= \sqrt(4e^{(2t)})\\= 2e^t\)
(b) We have the arc length function, L to be the integral from 0 to t, so:
\(L = \int\limits^t_0 {2e^v} \\L = 2e^t - 2e^0\\= 2e^t - 2\\L = 2(e^t - 1)\\L/2 = e^t - 1\\L/2 + 1 = e^t\\e^t = L/2 + 1\\t = ln|L/2 + 1|\\\)
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What is the volume of the cylinder below?
17
그 12
O A. 2041 units?
O B. 24487 units 3
O C. 40870 units 3
D. 20472 units3
Please help
Answers
❥\(\Large\pmb{ \underline {\tt Answer}}\)
\( \rm V = \tt\pi {r}^{2} h\)
\( \\ \\ \)
\( \dashrightarrow \rm V = \tt \pi \times {12}^{2} \times 17\)
\( \\ \\ \)
\( \dashrightarrow \rm V = \tt \pi\times 1 44 \times 17\)
\( \\ \\ \)
\( \dashrightarrow \boxed{ \bf V = \bf2,448 \pi{ \{unit \}}^{3} }\)
━━━━━━━━━━━━━━━
Wallah! and all we are done. :)
The mean of the data set(9,5,y,2,x)is twice the data set (8,x, 4,1,3).What is (y-x)
Answers
Answer:
y - x = 16
Step-by-step explanation:
Explanation:-
Step(i):-
Given data set A is 9,5,y,2,x
Mean of the Data set A
= \(\frac{9 + 5 + y + 2 +x}{5}\)
= \(\frac{16 +x+y}{5}\)
Given data set B is 8, x, 4, 1, 3
Mean of the Data set B
= \(\frac{8+ x+4+1+3}{5}\)
Step(ii):-
Mean of the Data set A = 2 X Mean of the Data set B
\(\frac{16 +x+y}{5} = 2 X \frac{16+x}{5}\)
On simplification , we get
16 +x + y = 2( 16 +x)
16 + x + y = 32 + 2 x
16 + x + y - 32 - 2 x = 0
y - x -16 =0
y - x = 16
Factorise
7lm - 21lmn
Answers
Answer:
7lm - 21lmn
taking common
7lm(1-3n)
Ed is on a road trip. He has already traveled 211 miles and is driving at a rate of 63 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles? A. 211x + 638 = 63 B. 211x + 63 = 638 C. 63x + 211 = 638 D. 63x + 638 = 211
Answers
Answer:
Option C is correct.
Step-by-step explanation:
Distance already traveled by Ed \(=211\) miles
Also, Ed is driving at a rate of 63 miles per hour.
Distance \(=\) Speed × Time
Distance traveled by Ed in \(x\) hours \(=63x\)
Total distance traveled by Ed \(=211+63x\)
Also, total distance traveled by Ed is \(638\) miles.
Therefore,
\(638=211+63x\)
Option C is correct.
Express this number in scientific notation 0.0008235
Answers
= 0.0008235
Find the value of x.
x=
Answers
Answer:
my guess is 135 because there both the same corners
Step-by-step explanation:
Answer:
110
Step-by-step explanation:
900-(105+150+140+135+125+135)= 110
Calculate the distance between the points (4,-2) and (7,-9)
Answers
The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.
The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.
The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values:
d = sqrt((7 - 4)^2 + (-9 - (-2))^2)
d = sqrt((3)^2 + (-7)^2)
d = sqrt(9 + 49)
d = sqrt(58)
Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.
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If you subtract 1/2 from a number and multiply the result by 1/2, you get 1/8. what is tye number? (pls explain in detail )
Answers
Answer:
1
Step-by-step explanation:
1 in fraction form is 4/4.
4/4 - 2/4= 2/4.
2/4 x 1/2 = 1/8
Please help answering this question
Answers
Answer:
DF = 3
Step-by-step explanation:
BC = DF
Which mean D is (0,2) and F is (3,2)
Here, this is clear that y-intercept is 2
DF = D(x) + F(x) = 0 +3 = 3
How many dimes equal the value of 6 quarters?
Answers
Answer:
15 dimes
Step-by-step explanation:
6 quarters = 6 * .25 = 1.50
a dime equals .10
d * .10 = 1.50
Divide each side by .10
d = 1.50/.10
d = 15
15 dimes
Answer:
15 dimes
Step-by-step explanation:
One dime equals: 10
six quarters: 150
150 divided by 10:
15 dimes!
Hope this helps!!!!
For the function f(x) = 7x + 6, find f-¹(x).
Answers
Inverse of function f(x) = 7x + 6 is
Given,
f(x) = 7x + 6
Now,
Put y in place of f(x)
y = 7x + 6
Now interchange the variables,
x = 7y + 6
Solve for variable y,
y = x/7 - 6/7
Replace y with f-¹(x),
f-¹(x) = x/7 - 6/7
Thus the inverse of the function is obtained to be x/7 - 6/7 .
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Janet wants to purchase a new car. At the car dealership, a salesperson tells her she can choose from 10 car models, 7 exterior
colors, and 9 interior colors.
How many ways can Janet customize a car? Enter your answer as a whole number, like this: 425
evious
Answers
Janet has 630 options to customize a car based on the given features.
How to solve the question?
To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:
10 car models x 7 exterior colors x 9 interior colors = 630
Thus, Janet has 630 options to customize a car based on the given features.
It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.
Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.
In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.
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Solve the problems.
The number a is less than the number b by (1)/(5) of b. By what part of a is b greater than a ?
Answers
Answer:
B is greater than A by 1/4 of A
Step-by-step explanation:
Let's use the information given in the problem to write expressions for the values of a and b:
a = b - (1/5)b = (4/5)b
b is greater than a by the difference:
b - a = b - (4/5)b = (1/5)b
To express this difference as a fraction of a, we divide by a:
(b - a)/a = ((1/5)b)/((4/5)b) = 1/4
Therefore, b is greater than a by 1/4 of a.
pls help me solve this
Answers
The results of operations between vectors are, respectively:
Case A: u + w = <- 3, - 1>
Case B: - 6 · v = <6, 6>
Case C: 3 · v - 6 · w = <- 21, - 15>
Case D: 4 · w + 3 · v - 5 · u = <39, 4>
Case E: |w - v| = √(4² + 3²) = 5
How to determine the operations between vectors
In this problem we must determine the operations between vectors, this can be done by following definitions:
Vector addition
v + u = (x, y) + (x', y') = (x + x', y + y')
Scalar multiplication
α · v = α · (x, y) = (α · x, α · y)
Norm of a vector
|u| = √(x² + y²)
Now we proceed to determine the result of each operation:
Case A:
u + w = <- 6, - 3> + <3, 2>
u + w = <- 3, - 1>
Case B:
- 6 · v = - 6 · <- 1, - 1>
- 6 · v = <6, 6>
Case C:
3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>
3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>
3 · v - 6 · w = <- 21, - 15>
Case D:
4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>
4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>
4 · w + 3 · v - 5 · u = <39, 4>
Case E:
|w - v| = |<3, 2> - <- 1, - 1>|
|w - v| = |<4, 3>|
|w - v| = √(4² + 3²) = 5
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Help please:)
Graph the equation by plotting points.
X=4
Answers
Answer:
(4,0)
Step-by-step explanation:
You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!
someone please answer this its confusing me
Answers
the line AB will be congruent to line DC so 8t + 7 = 9t - 2 which gives you t = 9
line AD will also be congruent to line BC so 4s + 1 = 2s + 25 which gives you s = 12
Potato salad can be purchased at the grocery store for $2.58 per pound. If Michael wants to buy 2.5 pounds of potato salad, how much will it cost?
Answers
Answer: $6.45
Step-by-step explanation: Since 1 pound is $2.58, and we need to find out how much is 2.5 pounds, we can just multiply 2.58 by 2.5. Should be simple for you. Hope this helps. :)
It takes a graphic designer 1.5h to make one page of a website. Using a new software, the designer could complete each page in 1.25h, but it takes 8h to learn the software. How many web pages would the designer have to make in order to save time using the new software?
Answers
Answer:
33 web pages (at least)
Step-by-step explanation:
We can set up an inequality to represent this, where x represents the number of web pages made.
1.5x > 1.25x + 8
1.5x represents the number of hours it will take normally, and 1.25x + 8 represents the time with the new software. 1.5x (amount of hours using old software) needs to be larger than the time it takes with the new software.
Solve for x:
1.5x > 1.25x + 8
0.25x > 8
x > 32
So, the designer would have to make at least 33 pages.
The number of web pages would the designer have to make in order to save time using the new software will be 33 web pages (at least).
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
We can set up an inequality to represent this, where x represents the number of web pages made.
1.5x > 1.25x + 8
The time with the new software is represented by 1.25x + 8 and the normal time is represented by 1.5x. The number of hours spent using the old software must be 1.5 times greater than the time spent using the new product.
Solve for x:
1.5x > 1.25x + 8
0.25x > 8
x > 32
Therefore, the number of web pages would the designer have to make in order to save time using the new software will be 33 web pages (at least).
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Question 2/2
Question 1 Part B (01.02, 01.03 MC): A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of
her goal.
What does the variable in the equation represent? (2 points)
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A. Amount the owner needs to sell
B. Price per item
C. Number of items sold
D. Total sales for the month
1 answer(s) selected
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A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of her goal. The variable in the equation is
C. Number of items soldWhat is variable in math?A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem.
Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.
In the context of the problem, the boutique owner wants to make $1,200 in clothing each week. This amount in made by the number of items sold as this is added to get to the amount the boutique owner is targeting
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pleas
HELP IMMEDIATELY
Answers
Answer:
144ft^3
Step-by-step explanation:
To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism
Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)
\(V=\frac{1}{2} (36)(8)\)
\(V=(18)(8)\)
\(V=144\)
Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)
Find the length of side AB. Round to the nearest hundredth inch.
Answers
The value of length of side AB is,
⇒ AB = 5 units
We have to given that;
The figure is shown a trapezoid.
Hence, By using Pythagoras theorem we get;
⇒ AB² = 4² + (5.25 - 2.25)²
⇒ AB² = 16 + 3²
⇒ AB² = 16 + 9
⇒ AB² = 25
⇒ AB = √25
⇒ AB = 5 units
Therefore, The value of length of AB is,
⇒ AB = 5 units
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Transcribed image text: In 2000, 47% of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately 1.8% per year since then. Find a linear function in slope-intercept form that models this description. The function should model the percentage of residents, P(x), who regularly used the news outlet x years after 2000 P(x)= (Use integers or decimals for any numbers in the expression.)
Answers
Answer:
/.............................../././///////////////////////////////////////
Step-by-step explanation:
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