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scoray [572]
3 years ago
7

A bank offers an annual simple interest rate of 8% on home improvement loans. Tobias borrowed $17,000 over a period of 2 years.

How much did he repay altogether?
A. $1,360
B. $2,720
C. $18,360
D. $19,720
Please show your work! Thank you so much :)
Mathematics
1 answer:
levacccp [35]3 years ago
5 0


We first find out the amount in dollars of interest accrued after 2 years  time.

Interest = Prt

where P is the principal, r is the rate and t is  time

8% written in decimal fraction → 8/100 → 0.08

Interest = 17000 × 8% × 2

Interest = 1700 × 0.08 × 2

Interest =  2,720 dollars

We add the principal and the interest to get full amount paid, so:

17000 + 2,720 = 19,720

Therefore the answer is D

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Notes:

  • The sign of the coefficient of the quadratic equation determines if the vertex is a minimum or maximum.  Positive looks like ∪ so has a minimum.  Negative looks like ∩ so has a maximum.
  • Maximum/minimum height is the y-value of the vertex.
  • Time to reach maximum height is the x-value of the vertex (which is also the Axis-Of-Symmetry).

Answer:  4) maximum

               5) 20.1 ft

               6) 2 seconds

<u>Step-by-step explanation:</u>

4) h(t) = -16t² + 256t

            ↓

            the coefficient is negative so it looks like ∩.  

            Therefore, it has a maximum.

5) h(t) = -16t² + 30t + 6

\text{AOS: }x=\dfrac{-b}{2a}\quad \rightarrow \quad x=\dfrac{-(30)}{2(-16)}=\dfrac{-30}{-32}=\dfrac{15}{16}\\\\\\\text{Maximum: }h\bigg(\dfrac{15}{16}\bigg)=-16\bigg(\dfrac{15}{16}\bigg)^2+30\bigg(\dfrac{15}{16}\bigg)+6\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{-225}{16}+\dfrac{450}{16}+\dfrac{96}{16}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{321}{16}\\\\\\.\qquad \qquad \qquad \qquad \approx20.1

6) h(t)=-16t²+64t+80

\text{AOS: }x=\dfrac{-b}{2a}\quad \rightarrow \quad x=\dfrac{-(64)}{2(-16)}=\dfrac{-64}{-32}=2

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