Tara invests $555 into a savings account that has an interest rate of 12.6% and is compounded quarterly. How many years will it take for the account to reach a balance of $5,600?

Answer:

C. -7/pi/2

Step-by-step explanation:

I calculated it logically

Answer:

Step-by-step explanation:

1) The steps here are given.

2) The two angles are equal because they are vertically opposite.

3) The two triangles are congruent by ASA

Answer:

=1

Step-by-step explanation:

Answer:

650^9

power gets added when base is same

27x^6 = 387420489

You want something similar but cubed.

\(\sqrt[3]{387420489}\) = 729

YOUR ANSWER: 729x^3 = 387420489

Step-by-step explanation:

Answer:

8/100

Step-by-step explanation:

The percentage 8% can be written as \(\frac{8}{100}\) as a fraction.

The percentage is a method of proportionating a given fraction out of 100. x% implies x out of 100 always. The method is used to facilitate comparison is part of a whole when the total figure differs in different cases.

Fraction, on the other hand, is simply the expression of part of a whole. The numerator referring to the part and denominator to the whole. The whole need not be 100.

The percentage 8% means 8 out of 100. Thus the fraction becomes \(\frac{8}{100}\).

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Answer: concentration = 15.58%

Step-by-step explanation:

Given: mass of sugar = 24 g = 24 ml   [ ∵ 1 g = 1 ml]

Volume of solution = Quantity of water + quantity of solute

= 130 +24 ml

= 154 ml

Concentration = \(\dfrac{mass\ of\ solute}{Volume\ of\ solution}\times100\)

\(=\dfrac{24}{154}\times 100\\\\\approx15.58\%\)

Hence, the concentration =15.58%

Answer:

you will need 30 aquariums to hold 10 gallons.

Step-by-step explanation:

3.10=30

10/3 aquariums will it take to hold 10 gallons.

Unit rate is defined as the ratio of two quantities used to find the amount associated with per unit of quantity.

Given that, an aquarium, holds 3 gallons of water, we need to find the number of aquariums will it take to hold 10 gallons,

So, 1 aquarium = 3 gallons

So, 1 gallon = 1/3 aquariums

So, 10 gallons = 10/3 aquariums

Hence, 10/3 aquariums will it take to hold 10 gallons.

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If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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The value of x in the triangle is determined as 45.

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

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The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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The value of the 3 × f( - 4 ) - 3 × g( - 2 ) is 40

Given the following expression 3 × f( - 4 ) - 3 × g( - 2 ), to find the required values, we can assume that;

f( - 4 ) = 15

g( - 2 ) = 5

Substitute the given parameters into the expression to have:

3 × f(- 4 ) - 3 × g(- 2) = 3 × 15 - 3 × 5

= 45 - 5

= 40

Hence the value of the 3 × f( - 4) - 3 × g( - 2) is 40

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Side KL goes with KJL

Side LJ goes with LKJ

SIde JK foes with JLK

Answer:

52.5

Step-by-step explanation:

58.1 - 5.6= 52.5

Given:

The sequence is:

25,43,61,79,97

To find:

The recursive formula for the given sequence.

Solution:

We have,

25,43,61,79,97

Here, the first term is 25. Now, the differences between the two consecutive terms are:

\(43-25=18\)

\(61-43=18\)

\(79-61=18\)

\(97-79=18\)

The differences between the two consecutive terms is common, i.e., 18. So, the given sequence is an arithmetic sequence.

The recursive formula of an arithmetic sequence is:

\(F(n)=F(n-1)+d\)

Where, d is the common difference and F(1) is the first term.

Putting \(d=18\), we get

\(F(n)=F(n-1)+18\), where \(F(1)=25\).

Therefore, the required recursive formula is \(F(n)=F(n-1)+18\), where \(F(1)=25\).

To calculate the measure of the external angles of a regular polygon, you have to divide 360º by the number of sides:

If the external angles have measure ∠θ=32.7º

Replace this measure in the expression and calculate for n

The regular polygon has 11 sides and is called hendecagon

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Step-by-step explanation:

\(a=(v+w)(k-x)\)

\((k - x) = \frac{a}{(v + w)} \)

\(x = k - \frac{a}{v + w} \)

\(x = \frac{kv + kw - a}{v + w} \)

Step-by-step explanation:

Difference of Squares: a² - b² = (a + b)(a - b)

(x² - 16) / (x - 4)

= [(x + 4)(x - 4)] / (x - 4)

= x + 4, where x =/= 4.

Answer:

1.    (x+4)

2.     4

Step-by-step explanation:

got right on edge

The cost of the 20-year term insurance will be based on age, health, smoking, and other factors to determine the premium.

The cost of a special fully discrete 20-year term insurance on a 30-year-old would depend on a range of factors, including the insured's age, health, smoking status, and lifestyle. These factors would be used to calculate the risk of death during the 20-year term. The death benefit of 1,000 during the first ten years and 2,000 during the next ten years would also be taken into account when calculating the cost of the policy. Depending on the risk of death and the death benefits, the premium could vary significantly. For example, a 30-year-old in good health with no smoking history could pay less for the policy than a 30-year-old with a pre-existing condition and a smoking history. The premium could also be higher for individuals with riskier lifestyles. Ultimately, the cost of the 20-year term insurance will depend on the risk of death and the death benefit offered by the policy.

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Answer:

1460

Step-by-step explanation:

Its just 1460 because 0 is below 5

The lengths of the sides of the triangle are as follows;

Short leg = 12 cm.

Longer leg = 16 cm.

Hypotenuse = 20 cm.

In Euclidean geometry, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

Note: Let the variable x represent the smaller leg.

The hypotenuse is 8 cm longer than the longer leg: x + 8 = x + 8.

Substituting the given parameters into the Pythagorean's theorem formula, we have the following;

c² = a² + b²

(x + 8)² = x² + (x + 4)²

x² + 16x + 64 = x² + x² + 8x + 16

x² - 8x - 128 = 0

Adjacent leg, x = 12.

For the hypotenuse, we have:

Hypotenuse, c = x + 8

Hypotenuse, c = 12 + 8

Hypotenuse, c = 20 cm.

For opposite side, we have:

opposite side, b = 12 + 4

opposite side, b = 16 cm.

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Complete Question:

The shorter leg of a right triangle is 4 cm shorter than the longer leg. The hypotenuse is 8 cm longer than the longer leg. Find the lengths of the sides of the triangle.

Step-by-step explanation:

Lunar eclipses can only happen when the Moon is opposite the Sun in the sky, a monthly occurrence we know as a full Moon.

Answer:

fiewjfilewjfiwj

Step-by-step explanation:

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