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2 years ago

A loan of $25,475 is taken out at 4.6% interest, compounded annually. If no payments are

Mathematics

1 answer:

N76 [4]2 years ago

6 0

Answer:

It will take 9 years

Step-by-step explanation:

use formula A=P(1+ r/n)^nt

37,500= 25,475(1+.046/1)^1*x

37,500/25,475=1.046^x

1.47203= 1.046^x

try out different numbers for x and use whole number since it asks for the nearest year

1.046^8 = 1.43302 and 1.046^9 = 1.4989

so we know its inbetween

8 and 9 to figure out one is the closest whole number try raising it to the power of 8.5 and if it passes 1.47203 then its 9, if it doesnt then its 8

1.046^8.5 = 1.46561

1.46561< 1.47203

since 1.046561 is lower than 1.47203 its safe to assume that the year is between 8.5-8.99 thus we can round up to 9

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A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f

kvasek [131]

Answer:

$\frac{dr}{dt}=0.11062ft/sec$

Step-by-step explanation:

From the question we are told that:

Radius $r=5ft$

Height $H=15ft$

Rate $R=15ft/3sec =5ft/s$

Surface Radius $R_{surf}=2.2ft$

Generally the equation for Volume is mathematically given by

$V=\frac{1}{3}\pi*r^2h$

Since radius to height ratio gives

$\frac{r}{h}=\frac{5}{15}$

$\frac{r}{h}=\frac{1}{3}$

$h=3r$

Therefore

$V=\frac{1}{3}\pi*r^2(3r)$

$V=\pi r^3$

Generally the equation for Change of Volume is mathematically given by

$\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)$

$\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}$

$\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}$

$\frac{dr}{dt}=\frac{5}{45.62}$

$\frac{dr}{dt}=0.11062ft/sec$

3 0

3 years ago

a 3-year lease costs $324 a month and a 2-year lease costs $392 a month for the same car. On the lease signing date Matt Grove m

asambeis [7]

The more expensive plan is the 3 year plan. He should expect to pay 306 a per month with would be 3682 (if I’m right) sorry about the other person I reported their answer

4 0

2 years ago

I need help with 44 and 45

In-s [12.5K]

44 is F) 32 square feet

im not sure about 45

5 0

3 years ago

Which expression is the factored form of x2 – 7x 10? (x 3)(x 4) (x – 3)(x – 4) (x – 2)(x – 5) (x 2)(x 5)

alexandr402 [8]

The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form $ax^2 + bx + c$

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

$b = \alpha + \beta \\ ac =\alpha \times \beta$

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.

For this case, we're provided the expression:

$x^2 -7x + 10$

We can write 10 as multiple of -5 and -2 and