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olasank [31]
3 years ago
14

30 POINTS!!!!!!!! JoeNah, DeKobian and Evan wrote equations to calculate the amount of money in a savings account after one year

with 5% interest paid annually on an investment of dollars. Let B represent the balance of money saved.
JoeNah’s Equation: B = 1.5

DeKobian's Equation: B = + 0.05

Evan's Equation: B = (1+0.05)

The three students decided to see if their equations would give the same answer by using a $100 balance. Find the total amount of money in the savings account using each student’s equation. Show your work
Mathematics
1 answer:
castortr0y [4]3 years ago
4 0

Answer:

See the explanation for the answer to this question

Step-by-step explanation:

Let

B ---> the balance of money saved.

M ---> the amount invested in dollars

JoeNah's Equation

M=$100

B=1.5(100)=\$150

Dekobian's Equation

M=$100

B=100+0.05(100)=\$105

Evan's Equation

M=$100

B=M(1+0.05)

Substitute

B=100(1+0.05)=\$105

Dekobian's equation and Evan's equation are correct! :)

JoeNah's equation is wrong. :(

Hope this helps you!

Have a good evening!

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16(6t-3)= 200 what does t=?
Lunna [17]

Answer:2.58

Step-by-step explanation:

5 0
3 years ago
If the 7th of an AP is equal to 11 times the 11th term, find the 18th term
Zina [86]

Answer:

-33 or 33

Step-by-step explanation:

The seventh term of an AP is written as:

a + 6d

The eleventh term of an AP is written as:

a + 10d

If the 7th term is 11 times the 11th term, then;

a + 6d = 11(a + 10d)

Expand to get:

a + 6d = 11a + 110d

11a - a = 6d - 110d

10a =  - 104d

\frac{a}{d}  = -   \frac{104}{10}

\frac{a}{d}  = -   \frac{52}{5}

We must have a=-52 and d=5

Or

a=52 and d=-5

For the first case, the 18th term is :

- 52 + 5 \times 17 = 33

For the second case,

52 - 5 \times17 =  - 33

3 0
4 years ago
A jumbo crayon is composed of a cylinder with a conical tip. The cylinder is 12 cm tall with a radius of 1.5 cm, and the cone ha
s2008m [1.1K]

Answer:

Part 1) The  lateral area of the cone is LA=2\pi\ cm^{2}

Part 2) The lateral surface area of the cylinder is LA=36\pi\ cm^{2}

Part 3) The surface area of the crayon is SA=41.50\pi\ cm^{2}

Step-by-step explanation:

Part 1) Find the  lateral area of the cone  

The lateral area of the cone is equal to

LA=\pi rl

we have

r=1\ cm

l=2\ cm

substitute

LA=\pi (1)(2)

LA=2\pi\ cm^{2}

Part 2) Find the lateral surface area of the cylinder

The lateral area of the cylinder is equal to

LA=2\pi rh

we have

r=1.5\ cm

h=12\ cm

substitute

LA=2\pi (1.5)(12)

LA=36\pi\ cm^{2}

Part 3) Find the surface area of the crayon

The surface area of the crayon is equal to the lateral area of the cone, plus the lateral area of the cylinder, plus the top area of the cylinder plus the bottom base of the crayon

<em>Find the area of the bottom base of the crayon</em>

A=\pi[r2^{2}-r1^{2}]

where

r2 is the radius of the cylinder

r1 is the radius of the cone

substitute

A=\pi[1.5^{2}-1^{2}]

A=1.25\pi\ cm^{2}

<em>Find the area of the top base of the cylinder</em>

A=\pi(1.5)^{2}=2.25\pi\ cm^{2}

<em>Find the surface area</em>

SA=2\pi+36\pi+2.25\pi+1.25\pi=41.50\pi\ cm^{2}

8 0
3 years ago
Read 2 more answers
7X(-3)X(-2)^2=?<br> I suck at math
marshall27 [118]

Answer:

-84

Step-by-step explanation:

6 0
3 years ago
You are paid $82.50 for 71212 hours of work. What is your rate of pay?
yanalaym [24]
If you would like to know what is your rate of pay, you can calculate this using the following steps:

$82.50 ... 7.5 hours
$x = ? ... 1 hour

82.50 * 1 = 7.5 * x
82.50 = 7.5 * x     /7.5
x = 82.50 / 7.5
x = $11

The correct result would be $11 per hour.
3 0
3 years ago
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