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Paladinen [302]
3 years ago
13

Your grandmother has been putting $ 3 comma 000$3,000 into a savings account on every birthday since your first​ (that is, when

you turned​ 1). The account pays an interest rate of 7 %7%. How much money will be in the account on your 18th birthday immediately after your grandmother makes the deposit on that​ birthday?
Mathematics
1 answer:
algol133 years ago
3 0

Answer: there would be $102000 in the account.

Step-by-step explanation:

We would apply the future value which is expressed as

FV = C × [{(1 + r)^n - 1}/r]

Where

C represents the yearly payments on each birthday.

FV represents the amount of money

in your account at the end of 18 years.

r represents the annual rate.

n represents number of years or period.

From the information given,

r = 7% = 7/100 = 0.07

C = $3000

n = 18 years

Therefore,

FV = 3000 × [{(1 + 0.07)^18 - 1}/0.07]

FV = 3000 × [{3.38 - 1}/0.07]

FV = 3000 × 34

FV = $102000

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Find an equation in point-slope form for the line having the slope m= -5 and containing the point (7,2).
Juli2301 [7.4K]

Answer:

y - 2 = - 5(x - 7)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 5 and (a, b) = (7, 2) , thus

y - 2 = - 5(x - 7) ← equation in point- slope form

5 0
3 years ago
Read 2 more answers
Find the equations of the lines for the following. Your answer should be in the form y=mx+b.
spin [16.1K]

Answer:

1 ) y = 2x - 1

slope = 2

y intercept is (0,-1)

2) y = -1/2x + 5

slope = -0.5

y intercept  = (0,5)

Step-by-step explanation:

4 0
3 years ago
Find of the areas of the squares PQRSto that of ABCD where PQ=9cm and AB=5cm​
Ket [755]

Answer: Area of square PQRS is 81cm^2 and of ABCD is 25cm^2

You know its a square. Which means all the sides are equal and same length. If you dont know what's a square then here is the definition:

Square is a plane figure with four equal sides and four right (90°) angles.

So now we know both of are squares, in case of the first square, PQRS, one side length is already given which is PQ=9cm. Now one side is 9cm which means all the sides are 9cm's (PQ=9cm, QR=9cm, RS=9cm,SP=9cm). So to find area just multiply them:

9cm * 9cm = 81cm^2

Now you found the area of the first square. So for the second square, ABCD, one side length is 5 cm so all the rest three sides are also 5 cm. Again, multiply them in order to find the area:

5cm * 5cm = 25cm^2

So square PQRS is 81cm^2 to that of square ABCD is 25cm^2

CAUTIONS: IT IS NOT THAT HARD YA KNOW

By the way, hope it helps! ^^

7 0
2 years ago
Can someone please help me answer these 2 questions with a full explanation of how you got the answer so I can do the rest mysel
finlep [7]

(a) The measure of the indicated angle for figure 1 is 48⁰.

(b) The measure of the indicated angle for figure 2 is 42⁰.

<h3>Measure of the indicated angle</h3>

The measure of the indicated angles can be calculated as follows;

<h3>Figure 1</h3>

sinθ = opp/hypo

sinθ = 72/97

sinθ = 0.7423

θ = sin⁻¹(0.7423)

θ = 47.9⁰ ≈ 48⁰

<h3>Figure 2</h3>

sinθ = 65/97

sinθ = 0.6701

θ = sin⁻¹(0.6701)

θ = 42.1⁰ ≈ 42⁰

Learn more about angles here: brainly.com/question/25770607

#SPJ1

7 0
2 years ago
Read 2 more answers
Two numbers are in a ratio of 1:4 and their sum is 50. What is the smaller number?
katrin [286]
Let us assume the common ratio to be = x
Then
(1 * x) + (4 * x) = 50
x + 4x = 50
5x = 50
x = 50/5
   = 10
So from the above deduction, we get the common ratio to be equal to 10
Then
The smallest number = 1 * x
                                  = 1 * 10
                                  = 10
3 0
3 years ago
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