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2 years ago

Use the formula for simple interest to find the interest rate if a deposit of $1400 earned $490 of interest after 5 years,

1 answer:

7 0

Given the simple interest formula:

I = P•R•T

where:
I = interest
P = principal
R = interest rate
T = time (in years)

We can isolate R algebraically to find out the interest rate:

I = P•R•T

Divide both sides by P•T:

I / (P•T) = (P•R•T)/(P•T)

The formula for the interest rate is:
R = I / (P•T)

Substitute the given values into this formula to solve for the interest rate (R):

R = I / (P•T)

R = $490/ ($1,400 • 5 years)
R = $490 / $7,000
R = 0.07 or 7%

Therefore, the interest rate is 7%.

Please mark my answers as the Brainliest if you find my explanations and solution helpful :)

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Which expression is equivalent to (4g3h2k4)3

RSB [31]

Answer:

d) $8g^{6}h^{4} k^{12} - (h^{25} k^{15} )$

$\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$ $= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )$

Step-by-step explanation:

<u><em>Explanation</em></u>

Given expression

= $\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$

By using

(ab)ⁿ = aⁿbⁿ

$\frac{a^{m} }{a^{n} } = a^{m-n}$

= $\frac{(4)^{3} g^{9} h^{6}k^{12} ) }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$

After simplification , we get

$= 8g^{9}g^{-3} h^{6} h^{-2} k^{12} - (h^{5} k^{3} )^{5}$

$= 8g^{9-3}h^{6-2} k^{12} - (h^{5} k^{3} )^{5}$

$= 8g^{6}h^{4} k^{12} - (h^{25} k^{15} )$

3 0

2 years ago

A cliff diver jumps from a ledge 96 feet above the ocean with an initial upward velocity of 16 feet per second. How long will it

Nimfa-mama [501]

In my opinion it would be about 36 seconds

5 0

3 years ago

Read 2 more answers

A chettah can run 2 2/5 kilometers in 1 1/2 mintues at top speed. What id the top speed of a cheetah in kilometers per hour ?

Snezhnost [94]

Answer:

70 miles per hour and 96 kilometers per hour

Cheetahs can go from 0 to 60 miles per hour in just 3.4 seconds and reach a top speed of 70 miles per hour. While they are the fastest land animal in the world, they can only maintain their speed for only 20 to 30 seconds.

Step-by-step explanation:

Please tell me if its wrong then ill change it ^-^ if i can find the right answer fir you!

but if it is right i hope it helps!

4 0

2 years ago

I'll give brainliest to whoever answers first and is correct!!

Nina [5.8K]

Answer:

(a) $y=8x+5$

(b) 7 hours.

Step-by-step explanation:

(a) Let x be the number of hours and y is the total cost.

We have been given that Beatrice and her friends charge $8 per hour of babysitting, so the charges for x hours of babysitting will be 8x.

As they also charge a mandatory $5 per day fee for each child for snacks, so the total charges for babysit each day will be charges for x hours of babysitting plus mandatory charge.

We can represent this information in an equation as:

$y=8x+5$

Therefore, the equation $y=8x+5$ represents the total cost of using Beatrice’s babysitting service each day.

(b) To find the number of hours Beatrice babysit the daughter, we will substitute y = 61 in our equation and solve for x.

$61=8x+5$