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maria [59]
3 years ago
8

Brandy had $7,216.18 in a savings account with simple interest. She had opened the account with $7,006 exactly 1 year earlier. W

hat was the interest rate?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Mathematics
1 answer:
Tanzania [10]3 years ago
3 0

Answer:

The interest rate is 3%

Step-by-step explanation:

You can find this using the equation 7,216.18 = 7,006 (r) (1 year)

1) divide 7217.18 by 7006 which equals 1.03

2) you will get 1.03 = 1, so you can multiply the original value by 1.03 to get the next value in one year

3) you can subtract 1.03 by 1 to get the yearly interest rate

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If 6^4x = 82, what is the value of x?<br> Round your answer to three places.
neonofarm [45]

Answer:

x=0.61485921

Step-by-step explanation:

The given equation is in exponential form:

6^{4x} =82

To find x we need to write it in logarithmic form:

b^{a} =n ⇒ log_{b} n=a

6^{4x} =82 ⇒ log_{ 6 }  82=4x

           2.45943684 = 4x

              \frac{2.45943684}{4} = x

           0.61485921 =x

To prove this, we can substitute the value into the given equation

             6^{4x} =82

6^{4(0.61485921)} =82

               82=82

Therefore, the answer is x=0.61485921

6 0
3 years ago
Help please I'm marking brainiest
Mademuasel [1]

Answer and explanation:

1. 9:12 or \frac{9}{12} or 9 to 12

It has 9 first because there are 9 lions and then 12 after because there are 12 elephants.

2. 8:16 or \frac{8}{16} or 8 to 16

It has 8 first because there are 8 giraffes and then 16 after because there are 16 otters.

3. 9:10 or \frac{9}{10} or 9 to 10

It has 9 first because there are 9 lions and then 10 after because there are 10 seals.

4. 10:12 or \frac{10}{12} or 10 to 12

It has 10 first because there are 10 seals and then 12 after because there are 12 elephants.

5. 12:9 or \frac{12}{9} or 12 to 9

It has 12 first because there are 10 elephants and then 9 after because there are 9 lions.

6. \frac{8}{6} or \frac{40}{30} or \frac{16}{12}

I just multiplied it first the first one by 2, second one by 10, and 3rd one by 4.

7. \frac{6}{7} or \frac{42}{49} or \frac{60}{70}

I just simplified it first, then I multiplied the simplified one by 6 for the second one, and for the 3rd one I multiplied the simplified by 10.

8. \frac{2}{3} or \frac{4}{6} or \frac{20}{30}

I just simplified it first, then I multiplied the simplified one by 2 for the second one, and for the 3rd one I multiplied the simplified by 10.

9. 3:4 is equivalent to 6:8, 30:40, 12:16

I multiplied it first by 2, then by 10, then by 4.

10. 5:7 is equivalent to 10:14, 50:70, 25:35

I multiplied it first by 2, then by 10, then by 5.

11. 9:2 is equivalent to 18:4, 90:20, 27:6

I multiplied it first by 2, then by 10, then by 3.

12.

a. 48

So first, the ratio we know is 5:4 which in other words is 5x:4x. We also know that there are 60 clownfish. So that means 5x = 60 --> x = 12. So then 4x has to equals 12 x 4 which is 48.

b. 36

So first, the ratio we know is 4:3 which in other words is 4x:3x. We also know that there are 48 angelfish. So that means 4x = 48 --> x = 12. So then 3x has to equals 12 x 3 which is 36.

Hope this helped! <3

8 0
2 years ago
Slove for x <br><br> 3x+9y=24
7nadin3 [17]

Answer:

Step-by-step explanation:

Simplifying

x = 8 + 3y

4 0
2 years ago
Read 2 more answers
James Ran 1/4 of a mile in the morning and then ran 2/8 of a mile that evening what was the distance James ran
Setler79 [48]

Answer:

1/2

Step-by-step explanation:

1/4=2/8

2/8+2/8=4/8=1/2

4 0
3 years ago
Solve the system using linear combination.
Angelina_Jolie [31]

Answer:

Delta does not have a relative extreme in the equation, so it is variable y It can not be true

Step-by-step explanation:

s = 5x + 3y

There is an answer

The rest of the equation that has no substituted delta is not true, so the prime variables have relative extremes.

8 0
2 years ago
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