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3 years ago

PLEASE HELP 40 POINTS

Mathematics

2 answers:

Irina18 [472]3 years ago

6 0

Answer: A. 171 degrees B. 79 degrees

Step-by-step explanation: A circles total amount of degrees is 360. You can add the amounts of the other angles and subtract the sum from 360. This will give you the answers to these problems and others like it. :)

Zarrin [17]3 years ago

4 0

X for (a) is 81 and x for (b) is 79. All the measure angles should equal 360

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If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance

Tomtit [17]

Answer:

a) Interest earned = $36

New Balance = $336

b) Interest rate = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

New Balance = $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding interest

$Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36$

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding rate

$Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%$

So, Interest rate = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding time

$Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5$

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding Principal

$Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675$

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0

2 years ago

(PLEASE HELP ME)(I WILL GIVE YOU BRAINLINEST)Suppose homes in a big city increase in value 13% every year. How much will a home

kolbaska11 [484]

Answer:

$216435

Step-by-step explanation:

Given : Suppose homes in a big city increase in value 13% every year.

To Find: How much will a home that cost $150,000 be worth 3 years later?

Solution:

Principal = $150000

Rate = 13% =0.13

Time = 3 years

Formula : $A=P(1+r)^t$

Now substitute the values in the formula

$A=150000(1+0.13)^3$

$A=216434.55$

So, The cost of home after 3 years will be $216435

Hence Option B is true

3 0

2 years ago

A garden table and a bench cost 930 combined. The garden table costs $80 more than the bench. What is the cost of the bench?

pychu [463]

Answer:

505+425

Step-by-step explanation:

u just subtract 930 x 2

8 0

3 years ago

Read 2 more answers

What is the volume of a cylinder with a radius of 10cm and a height of 30cm

lys-0071 [83]

Answer:

9,424.8 cm^3

Step-by-step explanation:

V = A of circle x h

= πr^2 x h

=(3.1416)(10)^2 x 30

=(3.1416)(100) x 30

=314.16 x 30

=9429.8

4 0

2 years ago

A barrier in the shape of a rectangle is used to retain oil spills. On a blueprint, a similar barrier is 9 inches long and 2 inc

drek231 [11]

Width of the actual barrier = 1.2 miles

Width of the barrier in the blueprint = 2 inches

2 inch dimension of blueprint = 1.2 miles of original

So, 1 inch dimension of blueprint = 1.2/2 = 0.6 miles.

Since the length of the barrier in the blueprint = 9 inches,

length of the actual barrier = 9(0.6) = 5.4 miles.

5 0

3 years ago