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kodGreya [7K]
3 years ago
13

An account earns simple interest. $300 at 4% for 3 years a. Find the interest earned. $ b. Find the balance of the account. $

Mathematics
2 answers:
aliina [53]3 years ago
5 0
A. take 300*0.04*3 which is $36

b. add $36 to $300
Oksi-84 [34.3K]3 years ago
5 0

Answer:

a. $36

b. $336

Step-by-step explanation:

The simple interest on a amount is:

A=P(1+rt)

A is the amount after interest, P is the amount before interest, r is the rate of interest and t is the time in years.

a.

We can use the formula:

=300\cdot{(1+0.04\cdot{3})}=300\cdot{1.12}=336

The interest earned is the amount after interest minus the original amount before interest:

=336-300=36

$36 of interest was earned

b.

The balance of the account is $336 worked out in a

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Devin has $30 on his bus card. Every time he rides a bus, $1.20 is deducted from the value on his card. The amount if money he h
vaieri [72.5K]

Answer:

y = -1.2x + 30

x = 22

x = 15

Step-by-step explanation:

<u>Part A</u>

Initially, Devin has $30.  Then every time he rides the bus, $1.20 is taken away:  y = 30 - 1.2x

Therefore, in slope-intercept form:  y = -1.2x + 30

If he has $3.60 on his card, then y = 3.60, so substitute this into the above equation and solve for x:

                                                  3.60 = -1.2x + 30

subtract 30 from both sides:  -26.4 = -1.2x

divide both sides by -1.2:             22 = x

Therefore Devin has ridden the bus 22 times if he has $3.60 on his card.

<u>Part B</u>

Rebecca:  y = -1.4x + 33

To determine how many rides on the bus Devin and Rebecca would need to take to have the same amount of value of their bus card, simply equate the equations and solve for x:

                                          Rebecca = Devin

                                                       y = y

                                         -1.4x + 33 = 30 - 1.2x

subtract 33 from both sides:   -1.4x = -3 - 1.2x

Add 1.2x to both sides:           -0.2x = -3

Divide both sides by -0.2:             x = 15

Therefore, Devin and Rebecca would both have to take 15 rides on the bus to have the same amount of value of their bus card.

6 0
2 years ago
zasha spent $6 on packages of gum.How many more packages of gum that cost $1.20 each can she buy if she has a $20 bill
antiseptic1488 [7]
You have to make an inequality:
1.2x + 6 ≤ 20
       - 6     - 6     isolate x

1.2x ≤ 14
÷1.2     ÷1.2   isolate x

x ≤  11.666

Since you can't buy 2/3 of a pack, she can only buy 11 pieces of gum.

Hope this helps!
4 0
3 years ago
in one version of a trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins in another version of trail mix, there a
vlada-n [284]

Based on the ratios of the peanuts mixed with raisins in the versions of the trail mix, the ratios are equivalent for both mixes.

<h3>What are the ratios?</h3>

The first ratio is:

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The ratios of the peanut and raisins mix are therefore equivalent.

Find out more on equivalent ratios at brainly.com/question/2328454

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8 0
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Which expression is equivalent to the given expression?
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8 0
3 years ago
Read 2 more answers
Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=
DiKsa [7]

Answer:

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Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

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p = 0.4

Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

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Confidence interval = 0.4 ± 1.96 * 0.0219

Confidence interval = 0.4±0.04294

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