All categories

4 years ago

After 1 year, $800 deposited in a savings account with simple interest had earned $64 in

Mathematics

1 answer:

stepan [7]4 years ago

7 0

Answer:

Step-by-step explanation:

We will use the equation provided to solve this problem.

$I=Prt$

Lets plug in the values:

$64=800x(1)$ First, divide both sides by 800.

$.08=x(1)$ Multiply x by 1

$x = .08$

Now, we multiply .08 by 100 to get our interest rate:

(.08)100 = 8

The interest rate is 8%

You might be interested in

A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei

ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is $576\ cm^{3}$

Part 2) The total surface area of the paperweight is $400\ cm^{2}$

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the square base

H is the height of the pyramid

$B=8^{2}=64\ cm^{2}$

$H=3\ cm$

substitute

$V=\frac{1}{3}(64)(3)=64\ cm^{3}$

step 2

Find the volume of the cube

The volume of the cube is equal to

$V=b^{3}$

$V=8^{3}=512\ cm^{3}$

step 3

Find the volume of the paperweight

$64\ cm^{3}+512\ cm^{3}=576\ cm^{3}$

Part 2) what is the total surface area of the paperweight?

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

$SA=5b^{2}$

$SA=5(8^{2})=320\ cm^{2}$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bh]$

$LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}$

step 3

Find the total surface area of the paperweight

$320\ cm^{2}+80\ cm^{2}=400\ cm^{2}$

8 0

3 years ago

Solve for x.<br><br> x=<br><br> Look at image

postnew [5]

Answer:

$x = 14$

Step-by-step explanation:

To find x, the following equation is generated given the available information:

$\frac{(x + 7) + x)}{x + 7} = \frac{12 + 8}{12}$

$\frac{2x + 7}{x + 7} = \frac{20}{12}$

$\frac{2x + 7}{x + 7} = \frac{5}{3}$

Cross multiply

$3(2x + 7) = 5(x + 7)$

$6x + 21 = 5x + 35$

Collect like terms

$6x - 5x = - 21 + 35$

$x = - 21 + 35$

$x = 14$

8 0

3 years ago

Here are two stories:

Dafna11 [192]

X is the ounces
Got this answer because you figured it out

5 0

2 years ago

Read 2 more answers

PLS HELP LAST DAY OF APEX a.graph this system of inequalities y<-x+4 y>-x-2 b. How many solutions does this system of ineq

Ede4ka [16]

Answer:

Part ) The graph in the attached figure

Part b) The system has infinitely solutions

Step-by-step explanation:

Part a) Graph this system of inequalities

we have

y < -x+4 -----> inequality A

The solution of the inequality A is the shaded area below the dotted line

y=-x+4

The y-intercept of the dotted line is the point (0,4)

The x-intercept of the dotted line is the point (4,0)

The slope of the dotted line is negative (m=-1)

y > -x-2 -----> inequality B

The solution of the inequality B is the shaded area above the dotted line

y=-x-2

The y-intercept of the dotted line is the point (0,-2)

The x-intercept of the dotted line is the point (-2,0)

The slope of the dotted line is negative (m=-1)

using a graphing tool

The graph in the attached figure

Part b) How many solutions does this system of inequalities have?

we know that

The solution of the system of inequalities is the shaded area between the two dotted lines (see the attached figure)

therefore

The system has infinitely solutions

4 0

3 years ago

At Keller's Bike Rentals, it costs 42$ to rent a bike for 8 hours. How many hours of bike use does a customer get per dollar? ro

Verizon [17]

Answer:336

Step-by-step explanation:

5 0

3 years ago