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svetlana [45]
3 years ago
10

Deposited 3,000$ and it earned 300$ in simple interest after 5 years what’s the interest rate

Mathematics
1 answer:
Leviafan [203]3 years ago
6 0

Answer:

<em>The interest rate is 2%</em>

Step-by-step explanation:

<u>Simple Interest</u>

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

The principal is P=$3,000 and it earned I=$300 in t=5 years. Thus the interest rate can be calculated by solving for r:

\displaystyle r=\frac{I}{P.t}

\displaystyle r=\frac{300}{3,000*5}

\displaystyle r=\frac{300}{15,000}

r = 0.02

The interest rate is 2%

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Wasted Water A faucet leaks 1 oz of water per minute. a) How many gallons of water are wasted in a year? (A gallon contains 128
dimaraw [331]

Answer:

a) 4106.25 gallons

b) $46          

Step-by-step explanation:

We are given the following in the question:

Leakage rate of faucet = 1 oz per minute

Cost of water = $11.20 per 1000 gallons

1 gallon = 128 oz

a) water are wasted in a year

1 hour = 60 minutes

1 day = 24 hours

1 year = 365 days

1\text{ year} = 365\times 24\times 60\text{ minutes}\\1\text{ year} = 525600\text{ minutes}

Amount of water wasted =

\text{Leakage rate}\times \text{Time}\\=1 \times 525600\\=525600\text{ oz}\\\\=\dfrac{525600}{128}\\\\=4106.25\text{ gallons}

Thus, 4106.25 gallons of water is wasted every year.

b) additional money spent

=\time{Cost}\times \text{Amount of water wasted}\\\\= \dfrac{11.20}{1000}\times 4106.25\\\\=45.99\$ \approx 46\$

Thus, approximately $46 is the additional money spent on water bill.

4 0
3 years ago
The Celsius temperature is 32 degrees. What is the Fahrenheit temperature
Aleksandr [31]

Answer:

89.6

Step-by-step explanation:

(32°C × 9/5) + 32 = 89.6°F

3 0
3 years ago
Read 2 more answers
A city has a populationof 370,000 people. Suppose that each year the population grows 7%. What will the population be after 8 ye
maksim [4K]

Answer:

577,220 will be the population I think

Step-by-step explanation:

370,000/100=3700=1%

3,700*7=25,900

25,900*8=207,200

370,000+207,200=577,220

3 0
3 years ago
A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
hjlf

Answer: 150mm

Step-by-step explanation:

Take the two adjecent sides of the triangle to be x and y and X is the angle opposite the side, x.

From the trigonometric identities for a right-angled triangle, it is known that

x=170sin X and;

y=170cos X

Thus the perimeter of the triangle is given by

170sin X + 170cos X + 170 = 400

170(sin X + cos X) = 400 - 170

170(sin X + cos X) = 230

sin X + cos X = 230/170 = 1.3529

Squaring both sides hence,

sin^2(X) + 2sin X.cos X + cos^2(X) = 1.8304

Recall that sin^2(X) + cos^2(X) = 1 and 2sin X.cos X = sin 2X.

Thus, the former expression gives;

1 + sin 2X = 1.8304

sin 2X = 0.8304

2X = arcsin (0.8304)

2X = 56.14° or (180 - 56.14)° = 56.14° or 123.86° for X existing within a triangle.

X = 56.14/2 or 123.86/2

X = 28.07° or 61.93°

Thus the two adjacent sides are ;

x = 170 sin (28.07) = 80mm

y = 170 cos (28.07) = 150mm

Using the value of 61.93° as X would give the same values but interchanged for x and y.

I hope you find this useful.

5 0
3 years ago
Carol is ordering t-shirts for her club and there are two different patterns to choose from. The first shirt is green and blue s
noname [10]

Answer:

14 Striped and 10 Flowered

Step-by-step explanation:

This can best be determined using a set of linear equations that are solved simultaneously.

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation

Given that the green and blue striped shirt is $15 and the white with purple flowers is $13. She needs to order 24 shirts and has a total of $340 to spend, let the number of striped shirts be g and that of flowered be h then,

g + h = 24 and

15g + 13h = 340

g = 24 - h

15(24 - h) + 13h = 340

360 - 15h + 13h = 340

2h = 20

h = 10

g = 24 - h

g = 24 - 10

= 14

4 0
3 years ago
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