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3 years ago

Question

Mathematics

1 answer:

puteri [66]3 years ago

3 0

Answer:

The salt concentration of the mixed solution = 10%

Step-by-step explanation:

First assuming that the concentration of salt given is on a vol% basis.

First solution has 0.7 gallon of 5% salt

Amount of salt in this solution = 5% × 0.7 = 0.035 gallon

Second solution has 0.3 gallon of 22% salt

Amount of salt in this solution = 22% × 0.3 = 0.066 gallon

Total amount of salt in the resulting solution = 0.035 + 0.066 = 0.101 gallon

Total volume of the resulting solution = 0.7 + 0.3 = 1.00 gallon

Concentration of the mixture of salt = (0.101/1) = 0.101 = 10.1% = 10% to the nearest percent

Hope this Helps!!!

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What is 400 divided by 77 x 100 + 2000 -55 +999

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400 ÷ 77 x 100 + 2000 - 55 + 999

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Case 11: Amount of monthly payment is $551.25

Case 12: Amount of monthly payment is $1361.77

Case 13: Amount of monthly payment is $814.03

Case 14: Amount of monthly payment is $656.25

Case 15: Amount of monthly payment is $897.6

Case 16: Amount of monthly payment is $2018.26

<u>Step-by-step explanation:</u>

Case 11:

Step 1: converting your annual interest rate to a monthly interest rate by dividing by 12

Monthly rate = $\frac{8 \%}{12}=\frac{0.08}{12}=0.00666$

Step 2: add 1 to the monthly rate

1+0.00666 = 1.00666

Step 3: multiply the number of years in the term of the mortgage by 12 to calculate the number of monthly payments you’ll make

The number of monthly payments = 30(12) = 360 months

Step 4: raise the result of 1 plus the monthly rate to the negative power of the number of monthly payments

$1.00666^{(-360)}$ = 0.0936

Step 5: subtract that result (obtained from step 4) from 1

1 – 0.0936 = 0.906

Step 6: divide the monthly rate by the result obtained from step 5

$\frac{0.0066}{0.906}=0.00735$

Step 7: multiple the result by the amount you borrowed ($75,000).

Amount of monthly payment= 0.00735(75000) = $551.25

Case 12:

Step 1: converting your annual interest rate to a monthly interest rate by dividing by 12

Monthly rate = $\frac{11 \%}{12}=\frac{0.11}{12}=0.00916$

Step 2: add 1 to the monthly rate

1+0.00916 = 1.00916

Step 3: multiply the number of years in the term of the mortgage by 12 to calculate the number of monthly payments you’ll make

The number of monthly payments = 20(12) = 240 months

Step 4: raise the result of 1 plus the monthly rate to the negative power of the number of monthly payments

$1.00916^{(-240)}=0.1121$

Step 5: subtract that result (obtained from step 4) from 1

1 – 0.1121 = 0.8879

Step 6: divide the monthly rate by the result obtained from step 5

$\frac{0.00916}{0.8879}=0.0103$

Step 7: multiple the result by the amount you borrowed ($132,000).

Amount of monthly payment= 0.0103(132000) = $1361.77

Similarly,

Case 13:

Monthly rate = $\frac{9 \%}{12}=\frac{0.09}{12}=0.0075$

1+0.0075 = 1.0075

The number of monthly payments = 25(12) = 300 months

$1.0075^{(-300)}=0.1063$

1 – 0.1063 = 0.8937

$\frac{0.0075}{0.8937}=0.0084$

Amount of monthly payment= 0.0084(97000) = $814.03

Case 14:

Monthly rate = $\frac{8 \%}{12}=\frac{0.08}{12}=0.00666$

1+0.00666 = 1.00666

The number of monthly payments = 30(12) = 360 months

$1.00666^{(-360)}=0.09166$

1 – 0.09166 = 0.9083

$\frac{0.00666}{0.9083}=0.0073$

Amount of monthly payment= 0.0073(89500) = $656.25

Case 15:

Monthly rate = $\frac{10 \%}{12}=\frac{0.10}{12}=0.00833$

1+0.00833 = 1.00833

The number of monthly payments = 10(12) = 120 months

$1.00833^{(-120)}=0.36955$

1 – 0.36955 = 0.6304

$\frac{0.00833}{0.6304}=0.0132$

Amount of monthly payment= 0.0132(68,000) = $897.6

Case 16:

Monthly rate = $\frac{9 \%}{12}=\frac{0.09}{12}=0.0075$

1+0.0075 = 1.0075

The number of monthly payments = 15(12) = 180 months

$1.0075^{(-180)}=0.2605$

1 – 0.2605 = 0.7395

$\frac{0.0075}{0.7395}=0.01014$

Amount of monthly payment= 0.01014(199,000) = $2018.26

6 0

3 years ago