#280 at the
Nader plans to buy a car. He can afford to pay
end of each month for 3 years. The best interest rate
he can find is 9.8% la, compounded monthly.
for this interest rate, the most he could spend on a car
is $8702.85,
Determine the amount he could spend on the
purchase of the car if the interest rate is 9.8%.la,
Compounded annually.
Answers
Based on the amount that Nader can pay per month, and the interest rate as well as the period, the amount he could spend if the rate was annual is $8,385.33.
How much could Nader spend on the car?If Nader can pay $280 per month, the amount he can pay per year i:
= 280 x 12
= $3,360
The amount that he can spend on the car is the present value of these yearly payments:
= 3,360 x (1 - (1 + 9.8%)⁻³) / 9.8%
= 3,360 x 2.49563439768461
= $8,385.33
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Related Questions
what are exchange rates?
Answers
Answer:
Step-by-step explanation:
Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.
7898 divided by 22 please put it in steps
Answers
1. If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've moved it to. Then move the decimal point in the number you're dividing the same number of places to the right.
2. Insert a decimal point in the quotient (answer) space, exactly above the decimal point in the number under the division bar.
3. Divide until the remainder is zero, or until you have enough decimal places in your answer. You can also stop if the remainder repeats because this indicates that your answer is a repeating decimal.
0 3 5 9
22| 7898
-0
—————-
78
- 66
—————
1 2 9
- 1 1 0
—————
1 9 8
- 1 9 8
——————
0
So the answer is 359.
Explain the different types of rain
Answers
Answer:
Convectional rainfall. - Convectional rainfall occurs when the energy of the sun heats the surface of the Earth, causing water to evaporate to form water vapour. When the land heats up, it warms the air above it. This causes the air to expand and rise. As the air rises, it cools and condenses. ... If this process continues, rainfall will occur.
Orographic or relief rainfall. - Orographic or relief rainfall is caused when masses of air are forced up the side of elevated land formations, such as large mountains, often referred to as an upslope effect. The lift of the air up the side of the mountain results in adiabatic cooling, and ultimately condensation and precipitation.
Cyclonic or frontal rainfall. - Frontal or Cyclonic Rain is caused by cyclonic activity and it occurs along the fronts of the cyclone. It is formed when two masses of air of different temperature, humidity and density meets. For example meeting of moisture laden warm tropical wind with a polar air mass. A layer separating them is called the front.
Step-by-step explanation:
Hope this helps!
a rectangles length is four feet more than its width write a quadratic function that expresses the rectangles area in terms of its width
Answers
L = w + 4
Area = L x w
Substitute w+4 for L in the area equation.
So, Area = (w+4) x w
Rewritten as: w^2 + 4w
3) A pet store was selling mice 7 for $13.79. If they ended up selling 2 mice, how much money would they have earned?
Answers
Answer:
$27.58
Step-by-step explanation:
On June 22nd, 2010, the S&P 500 was down 17.89 points to close at 1095.31.
3.
What was the value of the S&P
500 before the open on June
22nd, 2010?
4.
By how many percent change points was the S&P 500 down on June 22, 2010
round the answer to the nearest hundredth of a percent?
Answers
The value of the S & P 500 before the open on June 22nd, 2010 is 1,113.20 points.
The percent change points is -1.61%/
What is the percent change?The value of the S & P 500 before the open would be higher than the value at the close of June 22nd, 2010. This was because the index declined over the day.
Value before the open of June 22nd, 2010 = value at the close + change
17.89 + 1095.31 = 1,113.20 points
Percentage change = (change in points / points before open) x 100
(-17.89 /1,113.20) x 100 = -1.61%
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Nicholas and his father went fishing.
Nicholas caught a fish that weighed
14 1/2 pounds. His father caught a fish
that weighed half as much as the fish
Nicholas caught. What was the total
weight of the fish Nicholas and his
father caught, in pounds? Enter the
weight as an improper fraction.
Answers
The value of total weight of the fish Nicholas and his father caught, in pounds is,
⇒ 87/4 pounds
We have to given that;
Nicholas caught a fish that weighed 14 1/2 pounds.
And, His father caught a fish that weighed half as much as the fish Nicholas caught.
Hence, The weight of fish caught by his father is,
⇒ 14 1/2 ÷ 2
⇒ 29/2 × 1/2
⇒ 29/4
Thus, The value of total weight of the fish Nicholas and his father caught, in pounds is,
⇒ 14 1/2 + 29/4
⇒ 29/2 + 29/4
⇒ 58/4 + 29/4
⇒ 87/4 pounds
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a fair die is rolled 100 times.the results are shown below
number:. 1. 2. 3. 4. 5. 6
no of times:. 12. 16. 25. 18. 15. 14
what is the probability of getting
1?
2?
3?
4?
5?
6?
Answers
1.) Probability of getting 1: 0.12 or 12%.
2.) Probability of getting 2: 0.16 or 16%.
3.) Probability of getting 3: 0.25 or 25%.
4.) Probability of getting 4: 0.18 or 18%.
5.) Probability of getting 5: 0.15 or 15%.
6.) Probability of getting 6: 0.14 or 14%.
To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:
Number: 1 2 3 4 5 6
Times: 12 16 25 18 15 14
To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):
Probability of getting 1 = 12 / 100 = 0.12.
Probability of getting 2 = 16 / 100 = 0.16.
Probability of getting 3 = 25 / 100 = 0.25.
Probability of getting 4 = 18 / 100 = 0.18.
Probability of getting 5 = 15 / 100 = 0.15.
Probability of getting 6 = 14 / 100 = 0.14.
Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:
1: 0.12 or 12%,
2: 0.16 or 16%,
3: 0.25 or 25%,
4: 0.18 or 18%,
5: 0.15 or 15%,
6: 0.14 or 14%.
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PLZ answer my question for God's sake
Answers
Answer:
a. 2x+3z
b. 7xy
c. \(\frac{3ab}{2c}\)
d. 10z-6q
e. Subtract xy from the sum of p and q.
f. Divide the sum of 3 and y by 5.
g. Subtract 2c from the square root of b.
h. 3x ... 4x ...
i. 3y ... y+5 ... 5y+5
j. length ... 3 ... breadth ... 8b ... 3b²
Step-by-step explanation:
Sum means addition. 2x + 3z
Product means multiplication. 7y × x = 7xy
Divide 3ab by 2c. 3ab ÷ 2c = \(\frac{3ab}{2c}\)
Subtract 6q from 10z. 10z-6q
(p+q)-xy : Subtract xy from the sum of p and q.
(3+y)/5: Divide the sum of 3 and y by 5.
\(\sqrt{b}\)- 2c: Subtract 2c from the square root of b.
Let the number of boys be x. Girls are three times more so 3 × x = 3x. The total would be 3x + x = 4x.
Let Nora's age be y. Father is three times more so 3 × y = 3y. Brother is 5 more so would be y+5. The total would be y + 3y + y + 5 = 5y+5
3b is three times more than b, the breadth. Thus, the length is three times more than the breadth since it is 3b. The perimeter would be 3b + b + 3b + b = 8b. The area would be 3b × b = 3b²
HELP THANK Y PLSSSS HELP
Answers
Answer:
$3.50
Step-by-step explanation:
You want the change received from a $50 bill after the purchase of 3 shirts for $7.25 each, 1 dress for $12.00, and 1 tote bag for $9.50, with $3.25 added sales tax.
PurchaseThe subtotal of items purchased is ...
3 × $7.25 + 1 × 12.00 + 1 × 9.50 = $43.25
ChangeThe total amount of the purchase, after tax is added is ...
items + tax = $43.25 +3.25 = $46.50
The change received from $50 tendered is ...
$50.00 -46.50 = $3.50
Winnie should receive $3.50 in change.
the graph of linear f passes through the point 1 -9 and has a slope of -3 what is the zero of f
(A) 2
(B) 4
(C) -6
(D) -2
Answers
Answer:
(C) -6
Step-by-step explanation:
Given the following data;
Points on the graph (x1, y1) = (1, -9).
Mathematically, the equation of a straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
To find the zero of the linear function f, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - (-9) = -3(x - 1)
y + 9 = -3x + 3
y = -3x + 3 - 9
y = -3x -6 = mx + c
Intercept (c) or zero of a function = -6
A square a triangle and a parallelogram are used to form the figure shown. What is the area of the figure in square feet?
A) 213.04
B) 210.64
C) 231.04
D) 207
Answers
The area of the attached figure is 32 square mm
What is the area of the figure?The similar question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
A square a triangle and a parallelogram
The shapes can be combined to
a triangle and a parallelogram
So, we have
Area = Sum of individual areas
Using the dimensions of the shapes as a guide, we have the following:
Area = 0.5 * 2 * 8 + 4 * 6
This gives
Area = 32
Hence, the area is 32 square mm
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the probability that a student selected in our class will pass mathematics test is 2/3 how many students are likely to feel mathematics in the art class with 69 students
Answers
Out of 69 students in the art class, around 23 are expected to fail the mathematics test, assuming the probability of passing given is 2/3.
To determine how many students are likely to fail mathematics in the art class, we need to use the given probability of passing the mathematics test, which is 2/3.
First, let's find the probability of failing the mathematics test. Since passing and failing are complementary events (i.e., if the probability of passing is p, then the probability of failing is 1 - p), we can calculate the probability of failing as 1 - 2/3, which simplifies to 1/3.
Now, let's consider the art class, which has a total of 69 students. If the probability of failing mathematics is 1/3, then approximately 1/3 of the students in the art class are likely to fail the mathematics test.
To find the number of students likely to fail, we multiply the probability of failing (1/3) by the total number of students in the art class (69).
(1/3) * 69 ≈ 23
Therefore, approximately 23 students are likely to fail mathematics in the art class of 69 students based on the given probability of passing the mathematics test.
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Sheryl deposited RM 40,000 for 3 years and RM 30,000 for 5 years at the same rate of interest. She receives total interest of RM 13,500. What is the rate of interest?
Answers
The interest rate is given as follows:
5%.
How to obtain the balance using simple interest?The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are explained as follows:
P is the value of the initial deposit.r is the interest rate, as a decimal.The interest accrued is given as follows:
I(t) = Prt.
For each case, the interest accrued is given as follows:
40,000 for 3 years: I(3) = 40000 x r x 3 = 120000r.30,000 for 5 years: I(5) = 30000 x r x 5 = 150000r.The total interest was of 13,500, hence:
I(3) + I(5) = 13500.
Meaning that the interest rate is obtained as follows:
120,000r + 150,000r = 13500
r = 13500/270000
r = 0.05.
r = 5%.
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Someone help with this equation
Answers
The answer is:
g(x + 1) = 6x + 1
g(4x) = 24x -5
Work/explanation:
To evaluate, I plug in x + 1 into the function:
\(\sf{g(x)=6x-5}\)
\(\sf{g(x+1)=6(x+1)-5}\)
Simplify
\(\sf{g(x+1)=6x+6-5}\)
\(\sf{g(x+1)=6x+1}\)
------------------
Do the same thing with g(4x)
\(\sf{g(4x)=6(4x)-5}\)
\(\sf{g(4x)=24x-5}\)
Hence, these are the answers.
How do you write 5 as a fraction??
Ples answer quick its grading day
Answers
Answer:
5/1
Step-by-step explanation:
I think?
if -3 + i is a root of the polynominal function f(x), which of the following must also be a root of f(x)
Answers
What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a
vertex of the triangular bases?
A
a parallelogram that is not a rectangle
O a rectangle
O a triangle that must have the same dimensions as the bases
O a triangle that may not have the same dimensions as the bases
Answers
Answer:
a triangle that may not have the same dimensions as the bases
Step-by-step explanation:
The cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases would be a triangle that may not have the same dimensions as the bases.
Given right angle ABC, what the value of tan(A)?
5/13
12/13
12/5
13/12
need answer asap
Answers
Hi there!
\(\large\boxed{12/5}}\)
tan (angle) = Opposite side / Adjacent side, so:
Tan (A) = opposite side / adjacent side
= 24 / 10
Simplify:
= 12 / 5
Which function has the same range as \(f(x)= - 2\sqrt{x} =-3 + 8\\\)
Answers
Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].
To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).
The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.
In other words, the range of f(x) is (-∞, 5].
So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.
Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.
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one side of a triangle is 2 units longer than a second side. the ray bisecting the angle formed by these sides divides the opposite side into segments that are 5 units and 6 units long. find the perimeter of the triangle. give your answer as a reduced fraction or exact decimal
Answers
The perimeter of the triangle is determined as: 33 units.
What is the Perimeter of a Triangle?Perimeter of a triangle = sum of all its three side lengths.
What is the Angle Bisector Theorem?If an angle bisector intersects the opposite side of a triangle, according to angle-bisector theorem, it divides the opposite side into two segments that are proportional to the two other sides.
The diagram for the triangle is given in the diagram below. Thus:
AB/AD = CB/CD ((angle bisector theorem).
Substitute
(x + 2)/6 = x/5
Cross multiply
5(x + 2) = 6x
5x + 10 = 6x
10 = 6x - 5x
10 = x
x = 10
Perimeter of Triangle = x + 2 + x + 5 + 6
Plug in the value of x
Perimeter of Triangle = 10 + 2 + 10 + 5 + 6
Perimeter of Triangle = 33 units.
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Luke is 5 years younger than 3 times Sydney’s age, s. In this situation, what does 3s represent?
Luke’s age
Sydney’s age
three times Luke’s age
three times Sydney’s age
Answers
Based on the given context, 3s represent (d) three times Sydney’s age
Explaining what 3s represent?From the question, we have the following parameters that can be used in our computation:
Sydney's age = s
Luke is 5 years younger than 3 times Sydney’s age
The interpretation of the second statement above is
Luke's age = Sydney's age - 5
Mathematically, this can be expressed as
l = s - 5
Where
Luke's age = l and
Sydney's age = s
Also from the question we have:
3s = 3 times Sydney's age
Hence, 3s represent (d) three times Sydney’s age
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Study these equations:
f(x) = 2x – 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
h(x) = 6x2 – 10x – 4
h(x) = 6x2 – 12x – 4
h(x) = 6x2 + 2x – 4
h(x) = 6x2 + 14x + 4
Answers
Answer:
6x2-10x-4
Step-by-step explanation:
hx=(2x-4)(3x+1)
hx=2x(3x+1)-4(3x+1)
hx=6x2+2x-12x-4
hx=6x2-10x-4
Which expression results in a sum or difference of
the answer choices are
Answers
here it is, hope i helped :)
the answer is 3 1/12
Answer:
6 2/6 -3 2/8
Step-by-step explanation:
6*6=36
36+2=38
so it becomes 38/6
8*3=24
24+2=26
so it becomes 26/8
for same denominator *ply 38/6 with 8 &26/8 with 6
it will become: 304-156/48
148/48
which is equal to
3 4/48
Which of the following is not a true statement about the angles shown below? A H 3x x + 15 Z D x + 15 A. The measure of ZAHD is 30°. B. The measure of ZHDZ is 45°. C. The measure of ZHZD is 45°. D. The value of x is 30.
Answers
Answer:
A is not true
Step-by-step explanation:
Carly tried to solve an equation step by step. 7a=28 Step 1: 7a/a = 28/7 Step 2: 7 = 4 Find Carly's mistake A: Step 1 B: Step 2 C: Carly did not make a mistake.
Answers
This are the right steps
Step 1: first you divide the both size by 7 because there is 7 a's
7a/7 = 28/7
Step 2: You solve the equation
7a/7= a. 28/7 = 4
So, the answer is a = 4
not 7 = 4
Carly did a mistake in Step 1, as she divides the two sides of the equation by different quantities (she divided the left side of the equation by a and the right side of the equation by 7), but we are supposed to follow the same operations on both sides of the equation. Hence, option A: Step 1 is the right choice.
How are linear equations in one variable solved?To solve linear equations in one variable, we isolate the variable to one side of the equation and simplify the other side to get the solution for the equation.
In the process of isolation, the operations performed on one side of the equation have to be performed on the other side too.
How to solve the question?In the question, we are informed that Carly tried to solve an equation step by step. 7a=28 Step 1: 7a/a = 28/7 Step 2: 7 = 4.
We are asked to find the mistake that Carly did in solving the equation.
We first try to solve the equation: 7a = 28.
Step 1: 7a/7 = 28/7 {Dividing both sides by 7}
Step 2: a = 4 {Simplifying}.
Thus, we can see that Carly did a mistake in Step 1, as she divides the two sides of the equation by different quantities (she divided the left side of the equation by a and the right side of the equation by 7), but we are supposed to follow the same operations on both sides of the equation. Hence, option A: Step 1 is the right choice.
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Expand this question.
3(x+2)
Answers
Answer:
3(x+2)
3x+6
Step-by-step explanation:
We should multiply it by 3
Step-by-step explanation:
Question: 3(x+2)
Answer: 3x+6=0
x=-6/3
x=-2
hope this helps you
have a great day :)
Please help please I need your help please
Answers
Answer:
6
Step-by-step explanation:
Which expressions are equivalent to the given expression?
√40
O 1602
0 401
2√10
0 5√8
☐ 4√10
Answers
\(2\sqrt{10}\) is equivalent to the expression \(\sqrt{40}\)
entire to mixed radical:
\(\sqrt{40} \\\sqrt{4\ x\ 10} \\2\sqrt{10}\)
decimal value:
\(2\sqrt{10}=6.32....\\\sqrt{40}=6.32...\)
How many solutions does each system have?
System I:
x=y-3
2x - 2y = -6
System II:
5x + 2y = -7
15x + 6y = 21
Answers
O Both systems have no solution.
O System I has no solution and System II has an infinite number of solutions.
O System I has an infinite number of solutions and System II has no solution.
O Both systems have an infinite number of solutions.
Answers
Answer:
System 1 has an infinite number of solutions and System 11 has no solution.
Step-by-step explanation:
System 1:
x = y - 3
x - y = -3
2x - 2y = -6
Divide above by 2:
x - y = -3
So the 2 equations are identical
and they have an infinite number of solutions.
System 11:
5x + 2y = -7
15x + 6y = 21
Divide the above by 3:
5x + 2y = 7
Comparing this to the first equation the left sides are the same but right sides are different ( -7 and 7)/
There is no solution to this system.