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3 years ago

Please help me i need it right now please

Mathematics

1 answer:

12345 [234]3 years ago

4 0

Given:

The rate of interest on three accounts are 7%, 8%, 9%.

She has twice as much money invested at 8% as she does in 7%.

She has three times as much at 9% as she has at 7%.

Total interest for the year is $150.

To find:

Amount invested on each rate.

Solution:

Let x be the amount invested at 7%. Then,

The amount invested at 8% = 2x

The amount invested at 9% = 3x

Total interest for the year is $150.

$x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150$

Multiply both sides by 100.

$7x+16x+27x=15000$

$50x=15000$

Divide both sides by 50.

$x=\dfrac{15000}{50}$

$x=300$

The amount invested at 7% is $300$ .

The amount invested at 8% is

$2(300)=600$

The amount invested at 9% is

$3(300)=900$

Thus, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.

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Answer:

1. -19x

3. 23 - 8x

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Step-by-step explanation:

first: 3x - x = 2x

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8 - (-15) = 23

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3 years ago

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Evaluate the expression. Make sure your work is clearly shown.<br><br> (4/9)^-1/2

irina [24]

Can you make this more clear?? not really sure what I'm supposed to be doing here

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4 years ago

Antonette gets $70\%$ on a 10-problem test, $80\%$ on a 20-problem test and $90\%$ on a 30-problem test. If the three tests are

notka56 [123]

Answer:

Percentage score will be 83.33 %

Step-by-step explanation:

We have given Antonette gets 70 % on 10 problem test

Let consider here here total problem = total marks

So marks get 10 10 problem test = 10×0.7 = 7

Marks get in 20 problem test = 20×0.8 = 16

And marks get in 30 problem test = 30×0.9 = 27

Now total marks get get by Antonette = 7 +16 + 27 = 50

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4 years ago

1. When Lucas dumped the coins out of his piggy bank, he noticed that there were only nickels and dimes, and the number of nicke

vaieri [72.5K]

1- The total value of the Lucas coins dumped out of his piggy bank was $ 5.

2- Franco dumped out 36 coins from his piggy bank (16 quarters and 20 nickels).

3- There is no possible solution, as neither combination gives a total of $ 10, which is the combined total of Lucas and Franco's coins.

1- Given that when Lucas dumped the coins out of his piggy bank, he noticed that there were only nickels and dimes, and the number of nickels was twice the number of dimes, to determine, if there were 50 nickels, what was the total value of the Lucas coins dumped out of his piggy bank, the following calculation must be performed:

Nickel = 0.05
Dime = 0.10
N + D = X
N + 1 / 2N = X
50 + 25 = 75
50 x 0.05 + 25 x 0.1 = X
2.50 + 2.50 = X
5 = X

Therefore, the total value of the Lucas coins dumped out of his piggy bank was $ 5.

2- Since when Franco dumped the coins out of his piggy bank, he noticed that there were only nickels and quarters, and the number of quarters was six more than half the number of nickels, to determine, if the total value of the coins Franco and Lucas dumped out of each piggy bank was the same, how many coins did Franco dump out of his piggy bank, the following calculation must be performed:

Nickel = 0.05
Quarter = 0.25
Q = 2N + 6
4 x 0.25 + 6 x 0.25 = 1 + 1.5 = 2.5
8 x 0.05 = 0.40
2.5 + 0.4 = 2.9
8 x 0.25 + 6 x 0.25 = 2 + 1.5 = 3.5
16 x 0.05 = 0.8
3.5 + 0.8 = 4.3
10 x 0.25 + 6 x 0.25 = 2.5 + 1.5 = 4
20 x 0.05 = 1
4 + 1 = 5
10 + 6 + 20 = 36

Therefore, Franco dumped out 36 coins from his piggy bank (16 quarters and 20 nickels).

3- Since when Callie dumped the coins out of her piggy bank, she noticed that there were only nickels, dimes and quarters, and the number of dimes was one more than twice the number of quarters, and there were half as many quarters as nickels, y the coins dumped out of Callie's piggy bank had a total value equal to that of the coins dumped out of Franco's and Lucas' piggy banks combined, to determine what was the total value of the nickels and dimes dumped out of Callie's piggy bank, the following calculation should be performed:

Nickel = 0.05
Dime = 0.10
Quarter = 0.25
(D + 1) + 1 / 2Q + N = 10
1 x 0.1 + 20 x 0.1 + 10 x 0.25 + 20 x 0.05 = 2.1 + 2.5 + 1 = 5.6
1 x 0.1 + 36 x 0.1 + 18 x 0.25 + 36 x 0.05 = 3.6 + 4.5 + 1.8 = 9.9
1 x 0.1 + 38 x 0.1 + 19 x 0.25 + 38 x 0.05 = 3.9 + 4.75 + 1.9 = 10.55

Therefore, there is no possible solution, as neither combination gives a total of $ 10, which is the combined total of Lucas and Franco's coins.

Learn more in brainly.com/question/11096797

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3 years ago

The diagram represents an enlargement of a rectangle by a scale factor of 4.

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Answer:

D. 16 inches by 8 inches

Step-by-step explanation:

We have been given an image of two rectangles and we are asked to find the dimensions of the enlarged rectangle.

Since we have been given that the original rectangle is enlarged b a scale factor of 4, so to find the dimensions of enlarged rectangle we will multiply the dimensions of original rectangle by 4.

$\text{Length of enlarged rectangle}=4\times 4\text{ inch}$

$\text{Length of enlarged rectangle}=16\text{ inch}$

$\text{Width of enlarged rectangle}=4\times 2\text{ inch}$

$\text{Width of enlarged rectangle}=8\text{ inch}$

Therefore, the dimensions of enlarged rectangle are 16 inches by 8 inches and option D is the correct choice.

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3 years ago

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