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iogann1982 [59]
4 years ago
10

Henry has $2,500 for a down payment and thinks he can afford monthly payments of $400. If he can finance a vehicle with an 8 per

cent, 3-year loan from a local bank, what is the maximum amount Henry can spend on the car?
Mathematics
1 answer:
Travka [436]4 years ago
5 0

Answer:

$13,931.18

Step-by-step explanation:

DP: down payment FV: future value, PV:present value, i:interest rate, n:time

  1. Henry will pay 400×36=$14,400 total at the end of 3 years. So the FV will be $14,400
  2. Compound interest formula is FV=PV(1+i)^n ⇒ 14,400=PV(1+0.08)^3

PV=14,400/(1.08)^3=$11,431.18

Max amount=PV+DP=11,431.18+2500=$13,931.18

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I need help with this I need this done tomorrow please answer need help heart attack
Nataliya [291]

Basically what you have to do is multiply the two numbers that are mentioned and that will be your answer.

This is because the item will have the same amount or length and you just need to find what it will be with multiple ones.

Next time you could highlight keywords that help you understand if you are supposed to multiply, divide, subtract, or add.

3 0
3 years ago
A dose of a new pharmaceutical drug is decaying according to the half-life model f(t) = Ne-0.2174, where N is the dose
Rudiy27

Answer:

  14.7

Step-by-step explanation:

Perhaps your equation is ...

  f(t) = N·e^(-0.2174t)

We want f(6) = 4, so ...

  4 = N·e^(-0.2174·6) = N·e^-1.3044 ≈ 0.2713N

  N = 4/0.2713 = 14.7 . . . . milligrams

The dose amount was about 14.7 mg.

6 0
4 years ago
For the function given below, find a formula for the Riemann sum obtained by dividing the interval (0, 3) into n equal subinterv
Viktor [21]

Splitting up [0, 3] into n equally-spaced subintervals of length \Delta x=\frac{3-0}n = \frac3n gives the partition

\left[0, \dfrac3n\right] \cup \left[\dfrac3n, \dfrac6n\right] \cup \left[\dfrac6n, \dfrac9n\right] \cup \cdots \cup \left[\dfrac{3(n-1)}n, 3\right]

where the right endpoint of the i-th subinterval is given by the sequence

r_i = \dfrac{3i}n

for i\in\{1,2,3,\ldots,n\}.

Then the definite integral is given by the infinite Riemann sum

\displaystyle \int_0^3 2x^2 \, dx = \lim_{n\to\infty} \sum_{i=1}^n 2{r_i}^2 \Delta x \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac6n \sum_{i=1}^n \left(\frac{3i}n\right)^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3} \sum_{i=1}^n i^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3}\cdot\frac{n(n+1)(2n+1)}6 = \boxed{18}

8 0
2 years ago
Compare the domains of the logarithmic function f(x) and the square root function g(x).
Musya8 [376]

Answer:

The domains are not the same

Step-by-step explanation:

The domains are not the same because in the first graph, the left part of the graph is always approaching 2, not reaching it, while the right side is extending infinitely. In the second graph, the left side DOES reach three except it doesn't cross it.

So the notation for the first line would be

2<x<infinity

2\leq x <infinity

7 0
4 years ago
Read 2 more answers
The ratio of the length of a rectangular field to its width is 5:2 the length of the field is 30 yd. find it’s perimeter and are
larisa86 [58]

Answer:

Step-by-step explanation:

30/5 : x/2

(30×2)/5 = x

60/5= x = 15 yr wide

Area = length x width

30

X15

-------

150

30

------

450 sq feet

6 0
3 years ago
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