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disa [49]
2 years ago
6

Gia opened two savings accounts at two diffrent banks. One account earns an annual 3.4% simple interest, and the other earns hal

f as much. If she deposited $509 in each account, how much total interests will sh have earned in 3 years? A:$153.00 B:$38.25 C:$76.50 D:$51.00
Mathematics
1 answer:
dsp732 years ago
5 0

Interest from first account is :

I_1 = \dfrac{p\times r \times t}{100}\\\\I_1 = \dfrac{509\times 3.4\times 3}{100}\\\\I_1 =\$ 51.918

Interest form second account is :

I_2 = \dfrac{p\times r\times t}{100}\\\\I_2 = \dfrac{509\times 1.7\times 3}{100}\\\\I_2 =  \$25.959

So, total interest is :

I = I_1 + I_2 \\\\I = 51.918 + 25.959\\\\I = \$77.877

Therefore, total interest is $77.877 .

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Divide. Write in simplest form. 10 divided by 1 2/3 ?
adell [148]

Answer: 6

Step-by-step explanation: First rewrite 10 as 10/1 and 1 and 2/3 as 5/3.

Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.

So we have 10/1 ÷ 5/3 or 10/1 × 3/5.

It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.

Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.

Therefore, 10 ÷ 1 and 2/3 = 6.

8 0
2 years ago
Helpppp plzzz The frequency histogram shows the lengths of trails in a large park.
Rus_ich [418]

Answer:

13 trails

Step-by-step explanation:

The histogram shows following numbers of trails:

  • <u>0 - 6 km long</u> - 5 trails;
  • 6 - 12 km long - 9 trails;
  • 12 - 18 km long - 7 trails;
  • 18 - 24 km long - 3 trails;
  • <u>24 - 30 km long</u> - 4 trails;
  • <u>30 - 36 km long</u> - 1 trail;
  • <u>36 - 42 km long</u> - 3 trails.

So, there are 5 trails with length less than 6 km and 4 + 1 + 3 = 8 trails that are at least 24 km long.

In total, 5 + 8 = 13 trails

8 0
2 years ago
Write an algebraic expression that Marshall can use to determine the total cost of buying a watermelon that weighs w pounds and
VMariaS [17]

Answer:

The answer is that the cost will be a total of: $142.05. That is $125.80 for Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.

Step-by-step explanation:

Given: Watermelons are .68 / lb and tomatoes are 3.25 / lb.

Let w = watermelon weight and tomato weight.

An equation would be:

.68w + 3.25t = Total cost

For 185 lb of Watermelon and 5 lbs of tomatoes:

.68(185) + 3.25(5) =

$125.80 + $16.25 = $142.05

3 0
2 years ago
The two numbers between the square root of two
KatRina [158]

Answer:

1 and 1.5

Step-by-step explanation:

but im not sure

8 0
3 years ago
Read 2 more answers
Jake has a pocket full of dimes and quarters. The total value of his change is $2.05. Let D D represent the number of dimes, and
m_a_m_a [10]
Let A be the number of Dimes & B the number of Quarters, the linear equation is as follows:
A.D+B.Q=2.05
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2 years ago
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