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borishaifa [10]

3 years ago

10

The formula for simple interest is I=Prt,I=Prt, where II is the interest earned, PP is the principal, rr is the interest rate an

d tt is the number of years. Solve the formula for tt in terms of P,P, II and r.r.

1 answer:

liubo4ka [24]3 years ago

7 0

Answer:

t = I/pr

Step-by-step explanation:

I = prt

divide both sides by pr

i/pr = prt/pr , pr cancel out

I/pr = t

t = I/pr

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Solve and graph the absolute value inequality

weeeeeb [17]

$|4x+1|\leq5\iff4x+1\leq5\ \wedge\ 4x+1\geq-5\ \ \ \ |-1\\\\4x\leq4\ \wedge\ 4x\geq-6\ \ \ \ |:4\\\\x\leq1\ \wedge\ x\geq-1.5$

6 0

3 years ago

Find the volume of the following solid figure. Use = 3.14. V = 4/3r3. A sphere has a radius of 3.5 inches. Volume (to the neares

Juli2301 [7.4K]

To solve the problem shown above, you must apply the proccedure shown below:

1. You must use tthe formula for calculate the volume of a sphere, which is:

V=4πr³/3

V is the volume of the sphere.
r is the radius of the sphere (r=3.5 inches)

2. When you susbstitute these values into the formula shown above, you obtain the volume of the sphere. Therefore, you have:

V=4πr³/3
V=4π(3.5 inches)³/3

3. Therefore, the answer is:

V=179.5 inches³

4 0

3 years ago

Read 2 more answers

Suppose the radius of the sphere is increasing at a constant rate of 0.3 centimeters per second. At the moment when the radius i

elixir [45]

<h2>At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>

Step-by-step explanation:

We have equation for volume of a sphere

$V=\frac{4}{3}\pi r^3$

where r is the radius

Differentiating with respect to time,

$\frac{dV}{dt}=\frac{d}{dt}\left (\frac{4}{3}\pi r^3 \right )\\\\\frac{dV}{dt}=\frac{4}{3}\pi \times 3r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}$

Given that

Radius, r = 24 cm

$\frac{dr}{dt}=0.3cm/s$

Substituting

$\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi \times 24^2\times 0.3\\\\\frac{dV}{dt}=2171.47cm^3/min$

At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.

4 0

3 years ago

Ecessary. Bamples<br>3. What number is 15% of 60?

s2008m [1.1K]

Answer:

9

Step-by-step explanation:

.15/1=x/60

100 • x = 1x

.15 • 60= 9

1x/1=9/1

x=9

7 0

3 years ago

Slope = 3; (-2, -2) <br> plzz help

vladimir2022 [97]

Answer:

$y = 3x +4$

Step-by-step explanation:

Given

$m = 3$ --- slope

$(x,y) = (-2,-2)$

Required

Determine the equation and plot the graph

The formula for the equation is:

$y = m(x - x_1) + y_1$

This gives:

$y = 3(x - (-2)) - 2$

$y = 3(x +2) - 2$

Open bracket

$y = 3x +6 - 2$

$y = 3x +4$

<em>See attachment for graph</em>

6 0

3 years ago