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KengaRu [80]
2 years ago
7

Macy Chapman - Answers to lea

Mathematics
1 answer:
djverab [1.8K]2 years ago
3 0

Answer:

£5083

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2.1%/100 = 0.021 per year,

then, solving our equation

I = 4600 × 0.021 × 5 = 483

I = £ 483.00

The simple interest accumulated

on a principal of £ 4,600.00

at a rate of 2.1% per year

for 5 years is £ 483.00.

You might be interested in
George and Paul use a metal alloy that is 18.1% copper to make jewelry. How many ounces of an alloy that is 14% copper must be m
ella [17]

Answer:

Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.

Step-by-step explanation:

Each ounce of the 14% copper contains 0.14 ounce of pure copper.

Each ounce of the 23% copper contains 0.23 ounce of pure copper.

Each ounce of the 18.1% copper contains 0.181 ounce of pure copper.

Use x ounces of the 14% and y ounces of the 23% to make 90 ounces of 18.1% alloy.

x+y  = 90

y = 90-x

0.14x + 0.23y = 0.181·90

0.14x + 0.23(90-x) = 16.29

0.14x + 20.7 - 0.23x = 16.29

-0.09x + 20.7 = 16.29

4.41 = 0.09x

x = 49

y = 90-x = 41

Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.

7 0
2 years ago
A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet to the nearest whole unit what is
RideAnS [48]
Check the picture below.

\bf \textit{total surface area of a cone}\\\\
SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~
\begin{cases}
r=radius\\
h=height\\
-------\\
r=17\\
\sqrt{r^2+h^2}=12
\end{cases}
\\\\\\
SA=\pi (17)(12)+\pi (17)^2\implies SA=204\pi +289\pi \implies SA=493\pi

8 0
3 years ago
The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank was ¾ full. When they returned home
JulijaS [17]

Answer:

7.5 gallons

Step-by-step explanation:

Given:

The Thomas family went for a Sunday drive.

Before they left, Mr. Thomas noticed the gas tank was ¾ full.

When they returned home the gas tank was ⅓ full.

Total capacity of the gas tank = 18 gallons

<u>Question asked:</u>

How many gallons of gas did the car use on the drive?

<u>Solu</u>tion:

Before they left, quantity of gas in the tank = \frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons

When they returned, quantity of gas in the tank = \frac{1}{3} \times18=\frac{18}{3} =6\ gallons

Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons

Therefore, 7.5 gallons of gas used on the drive by Thomas family.

4 0
2 years ago
Please please help me!!!! :)
kifflom [539]

Answer:

Measure of ∠5 is 142°

Step-by-step explanation:

We are given that, Lines L and M are parallel.

As, the third line is intersecting both line L and M.

<em>We know that, 'The opposite angles formed by the intersecting lines are equal'.</em>

Since, the sum of the four angles formed by the third line and M is 360°.

So, we get,

∠1 + ∠6 + ∠7 + 38 = 360°

i.e. 2∠1 + 2×38°  = 360°

i.e. 2∠1 = 360° - 76°

i.e. 2∠1 = 284°

i.e. ∠1 = 142°

Thus, ∠1 = ∠7 = 142°

Since, L and M are parallel.

So, ∠3 = ∠5 = 142°

Hence, we get that measure of ∠5 is 142°.

3 0
3 years ago
Find the value of N in the question
iris [78.8K]
N = 1/3 -0
n = 1/3

answer
n = 1/3
8 0
3 years ago
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