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AfilCa [17]
3 years ago
13

Meredith invested $5,500 into an account that earned 5% interest per year. When she cashed out the investment to use it as a dow

n payment for a new car, it was worth a total of $7,739.05.
Which equation describes Meredith's investment based on t, the number of years she kept the account open?
Mathematics
1 answer:
shtirl [24]3 years ago
8 0

Answer:

Step-by-step explanation:

Using I = PRT/100

where P = The principal amount invested = $5500

R = Rate of Interest =5%

T = Time (in years)

I = Interest = $7,739.05 - $5500 = $2239.05

Substituting the above values in the formula

I = PRT/100 becomes

2239.05 = 7,739.05 * 5 * t / 100 -------- Multiply 100 to both sides

2239.05 * 100 = 100 * 7739.05 * 5 * t / 100

223905 = 7739.05 * 5 * t

223905 = 38695.25t

Divide both sides by 38695.25t

223905/38695.25 = t

5.786369 = t

T = 5.79 (approximated)

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7,300 deposit earning 3.3% compounded monthly after 1 year. What will the balance after 1 year will be?
inna [77]

Answer:

$7,544.58

Step-by-step explanation:

We will use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 3.3% into its decimal form:

3.3% -> \frac{3.3}{100} -> 0.033

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

A=7,300(1+\frac{0.033}{12})^{12(1)}

A=7,544.58

The balance after 1 year will be $7,544.58

7 0
3 years ago
The population of the United States is aging, though less rapidly than in other developed countries. Here is a stemplot of the p
Degger [83]

Answer:

Option A. 17.6%

Step-by-step explanation:

Since it is given that stems are in whole percent and leaves are tenths of percent which means if we take the first steam value of 5 7;

it means that 5 is whole percent and 7 will be written as  \frac{7}{10} = 0.7 percent which as a whole indicate that the first stem leaf represent 5.7% of residents aged 65 and over.

Now the highest percent of older residents for Florida will be the last stem leaf in the data given as 17 + 0.6 will represent 17.6% which is the highest among all others.

5.7% is the lowest of them all and there is no value as of 176% in the given stem leaf plot data.

Therefore option A id correct with 17.6% percent as of Florida.

8 0
3 years ago
Keith has $20 in a savings account that earns 10% interest, compounded annually.
mestny [16]

Answer:

A = P(1 + r)t

Step-by-step explanation:

account balance, to the nearest cent, after: Year 1? Year 2? Year 3? Year 4? ... -To calculate compound interest we use the formula below where A = total balance after t years, P = principal amount (amount borrowed or invested), r = interest ... annually. a) How much money will Jack have after 1 year? b) How much money ...

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3 years ago
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Answer:

0

Step-by-step explanation:

3x + 2 = 4

4-2 = 3x

2 = 3x

x = 2/3

2/3 x 6 = 12/3 = 4 - 4 = 0

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