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Cerrena [4.2K]
3 years ago
9

Amber borrows $5,000 from the bank. If she repays the loan in 5 years, the annual interest rate is 8%, compounded annually. Howe

ver, if she can repay the loan in 3 years, the annual rate is 6.5%, compounded annually. How much interest will Amber save by repaying the loan in 3 years? (to the nearest dollar)
A) $1,152
B) $1,307
C) $583
D) $971
Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Answer:

The answer is (B) $1,307

Step-by-step explanation:

First you would plug the $5000, 5 Years and 8% Interest(Compound) into your Formula - A=P(1+r)t

A=5000(1+.08)5

Which the interest is $2346.64

<u>__      _________________________________________________</u>

Next you would plug $5000, 3 Years and 6.5% Interest(Compound) Into your Formula - A=P(1=r)t

A=5000(1+.065)3

Which the future value is $1039.75

<u>__       _________________________________________________</u>

Finally you would subtract $2346.64 by $1039.75 and then round the difference to the nearest dollar.      

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Find the areas of the sectors formed by ABC
Amanda [17]

Answer:

33.51 in^2

Step-by-step explanation:

Find the area of the circle:

A = πr^2

A = π * 8^2

A = 64π = 201.06 in^2

Find the area of the 60 deg slice:

A * 60/360 = 33.51 in^2

Leave a thanks and mark brainliest if this helped

Leave a thanks and mark brainliest if this helped

6 0
3 years ago
Find the roots. 2x 2 + 7x - 15 =0
Reika [66]
So you always want to pull out the gcf first but since there isn't one, we can move on.
so we can make an acb chart which is multiplying the a value and the c value and find factors that of that product that will equal the b value.
a value is 2
c value is -15
b value is 7
-30 factors to equal 7 = 10, -3
10 - 3 = 7
so the factors 10 and -3 work. 
so now you make 2 separate parenthesis with one of the factors and one x. and it should be set equal to 0.
(x+10)(x-3) = 0
now solve for x in each separate parenthesis. 
x = -10 
x = 3
those r the roots
hope this helps
4 0
3 years ago
Read 2 more answers
What is the vertex of this parabola? y= 2x² + 4x +5
uranmaximum [27]

Answer:

vertex = (- 1, 3 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = 2x² + 4x + 5 ← is in standard form

with a = 2, b = 4, then

x_{vertex} = - \frac{4}{4} = - 1

Substitute x = - 1 into the equation for corresponding value of y, that is

y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3

vertex = (- 1, 3 )

6 0
3 years ago
Y=-x^2+8x-8 in vertex form
Lelu [443]

Answer:

The answer your looking for is (0,64) because your asking what is the vertex form. If you need any other help with any questions let me know and I'lll be happy to help you

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
50,60,72 find the 8th term airthmetic and geometric sequence
Savatey [412]

Answer:

8th term is 179.15904

Step-by-step explanation:

The sequence is geometric with a common ration = 6/5

r = 60/50 = 72/60 = 6/5

Use the formula

a_{n} = ar^{n - 1}

In your case a = 50, r = 6/5 and n = 8

a_{8} = 50(6/5)^{8 - 1} \\          = 50(6/5)^{7} \\          =  50(279936/78125)\\          =   179.15904

4 0
3 years ago
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