Garret invested $12,000 at an annual interest rate of 6%. How much money would Garret have had to invest at 10% so that the combined interest rate for both investments was 7% over the year?

Answers

Answer 1

Step-by-step explanation:

To determine how much money Garret would have had to invest at 10% in order to achieve a combined interest rate of 7% over the year, we can set up the following equation:

(12000 * 0.06) + (x * 0.10) = (12000 + x) * 0.07

Let's solve this equation to find the value of 'x', which represents the amount Garret would have had to invest at 10%:

720 + 0.10x = 0.07(12000 + x)

Simplifying the equation:

720 + 0.10x = 840 + 0.07x

0.10x - 0.07x = 840 - 720

0.03x = 120

x = 120 / 0.03

x = 4000

Therefore, Garret would have had to invest $4,000 at a 10% annual interest rate in order to achieve a combined interest rate of 7% over the year.

Answer 2
Garrett would have to invest 4000 at 10%

Related Questions

Dr. Hudson has a clock decorating business. On her signature circular clock, she puts glitter tape around the outer trim. About how much tape does she need to make ten clocks if each signature circular clock has a radius of 6 in? Use 3.14 for pi.

Answers

Answer:

She will need to use 377 inches of glitter tape.

Step-by-step explanation:

Find the circumference of the circle by using the radius. The circumference of each clock is 37.7 inches. Multiply that by 10, because there are 10 clocks. That will give you your answer is 377 inches!

(08.03)A restaurant manager recorded the number of people in different age groups who attended her food festival:

Histogram with title Food Festival Participants, horizontal axis labeled Age Group (yr) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50.

Which of the following frequency tables represents the data in the histogram accurately?


A: Age Group (year) Number of People
0–19

20

20–39

60

40–59

40

60–79

50


B: Age Group (year) Number of People
0–19

20

20–39

60

40–59

50

60–79

40


C: Age Group (year) Number of People
0–19

20

20–39

40

40–59

60

60–79

50


D: Age Group (year) Number of People
0–19

60

20–39

20

40–59

40

60–79

50

Answers

Answer:

y

Step-by-step explanation:

Help please HELP I need the Answer

Answers

Answer:

H. 70 ft^3

Step-by-step explanation:

The standard formula for a rectangular prism is L x W x H

So, we just need to plug-in the values into the formula

(7) x (2.5) x (4)

70

10 Points And Brainliest IF Correct

Answers

Answer:

1. 12 x 6 = 72 area of parallelogram: B x H (BH)

2. 15 + 23 = 38 x 10 = 380 divided by 2 = 190 area of trapezoid: (B1 + B2) x Height x 1/2 (basically dividing by 2)

3. 8 - 2 = 6 (b1) for the trapezoid, 6 (b1) + 8 (b2) = 14 x 4 (height) = 56 divided by 2 (multiplying 1/2) = 28. (Area of the triangle in the figure) 4 x 4 = 16 divided by 2 = 8. 28 + 8 = 36

Using the formula of a triangle: BH x 1/2 (basically dividing by 2)

Simplify the expression: cos (7x) cos (4x) + sin (7x) sin (4x).

Its either

cos(11x)

cos(3x)

sin(11x)

sin(3x)

The ANSWER IS COS(3X)

Answers

Answer:

!WARNING! DO NOT CLICK THE LINK THIS PERSON HAS PREVIDED IS A HACK LINK. ALL OF THE LINKS ARE THE SAME AND WHEN YOU GO IN THEY TRACK YOUR DIVICE AND GET YOUR LOCATION. PLEASE COPY AND PASTE THIS TO OTHER PEOPLE WHO HAVE PUT THIS LINK. HAVE A GREAT DAY.

Step-by-step explanation:

How many grams is in one decigram

Answers

Answer:

0.1

Step-by-step explanation:

1 Decigram (dg) is equal to 0.1 gram (g). To convert decigrams to grams, multiply the decigram value by 0.1 or divide by 10. For example, to convert 5 dg to g, multiply 5 by 0.1, that makes 0.5 g in 5 dg.

Figure Q has undergone a dilation
Which scale factor was used for the dilation?
A. 1/2


B. 3

C. 1/3


D. 2

Answers

Answer: 2

Step-by-step explanation: the figure has increased by 2 by x and y

What is Dilation?

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

An example of dilation math is a square of side 5 units can be dilated to a square of side 15 units, but the shape of the square remains the same.


Dimensions of Object Q are as follows:

(3 1/3,1)

(3 1/3,2)

(1,1)

(1,2)

Dimensions of Object Q’ are as follows:

(6 2/3,2)

(6 2/3,4)

(2,2)

(2,4)

Dimensions of Object Q to Object Q’ are as follows:

(3 1/3,1) ⇒ (6 2/3,2)

(3 1/3,2) ⇒ (6 2/3,4)

(1,1) ⇒ (2,2)

(1,2) ⇒ (2,4)


Let’s consider each vertex one by one.

The x-coordinate 3 1/3 changed to 6 2/3 and the y-coordinate 1 changed to 2. This shows that both the coordinates of Q’ became twice the coordinates of Q.The x-coordinate 3 1/3 changed to 6 2/3 and the y-coordinate 2 changed to 4. This shows that both the coordinates of Q’ became twice the coordinates of Q.The x-coordinate 1 changed to 2 and the y-coordinate 1 changed to 2. This shows that both the coordinates of Q’ became twice the coordinates of Q.The x-coordinate 1 changed to 2 and the y-coordinate 2 changed to 4. This shows that both the coordinates of Q’ became twice the coordinates of Q.

Therefore, the scale factor in this dilation is 2.

So, the correct option is Option (D) 2


Learn more about Dilation here

Visit —

https://brainly.com/question/2596315


Hope my answer helps you✌️

Mark BRAINLIEST

HELP PLEASEEEEEEEEEEEEEE

Answers

Answer:

A) 25

B) 98

C) 36

Step-by-step explanation:

A) (7-2) = 5 to the second power which is 25.

B) 1 + 6 = 7 to the second power which is 49. 49 x 2 = 98

C) 3 to the second power is 9.

    3 to the third power is 27.

    9 + 27 = 36

Hope this helps!

Have an awesome day!

PLEASE HELP I WILL GIVE A BRAINLIEST!!! THANK U.

Answers

Answer:

I wish I was smart in math because that looks hard!!

Step-by-step explanation:

As part of a science project, Liam grew two pumpkins in his backyard. Pumpkin A weighs 14 1/2 pounds and Pumpkin B weighs 248 ounces. Which of the following statements is true of the pumpkins? (1 lb = 16 oz)

Answers

Answer:

if you got the answer then i will just take the point lol

Step-by-step explanation:

Tou have the answer alrd wdym?

What is 1578 x 3490 divded by 8 x 4?

Answers

Answer: 172100.625

Explain: Use calculator

172100.625

1578•3490=5507220
8•4=32

5507220/32

want to play blooket
code is 587721

Answers

Answer:

Step-by-step explanation:

Answer:

Bleh code doesn't work...

Help Please - Overdue - Volume -

Answers

Ok use a calculator and do 11 x 11 x 4 then 7 x 7 x 4 and add the products

I need help right now

Find the median of the data in the dot plot below.
chocolate chips

Answers

i don’t see a dot plot so i can’t answer this...sorry :(
No dot plot can’t answer

Equivalent Ratios!!


Only need hhelp with the number problems.

Answers

Answer:

10:3=20:6    1/2=5:10    20:50=10:25    2:5=4:10    100/28=50:14    6:3=12:6   13:7=26:14     11/33=22:66     Word problem: 12:44

Step-by-step explanation: If some of the fractions or ratios are simplified it equals one of the number, ex 22:66 simplified is 11/33 even though it's backwards it's still equivalent. Hope it helps!

Help Please I need the Answer!!!!!

Answers

I think the answer should be B.

I give up.. please don’t just answer for points PLEASEE HELP MEEE if u get it right then i swear i owe you a brainliest :P

Answers

Answer:

B. or C.

Step-by-step explanation:

- hope this helps

Answer:

B and D

Step-by-step explanation:

If you count all of the dots, you see that the total amount of math books is 12.

Then, look at the column between 2 and 2 2/8. You see that there are 2 books that weigh 2 1/8 pounds.

Therefore, there are 2 out of the 12 books that weigh 2 1/8 pounds.

2/12 can also be simplified down to 1/6.

Use the relationship between the angles in the figure to answer the question.
1st on gets BRAINYEST!

Answers

109 degrees

The horizontal line = 180 degrees
Add 31 and 40 = 71
Subtract 71 from 180 = 109

GIVING BRAINLIEST NO LINKS
Using the information in the Box-and-Whisker plot below, what is the 3rd Quartile?

A) 5
B) 12.5
C) 20
D) 27.5

Answers

Answer:

The answer is 27.5 I think-

Answer:

c)20

Step-by-step explanation:

James surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred. The table shows the result of the survey.


Hamburgers Tacos Pizza
Sample #1 43 13 44
Sample #2 42 20 38


Which of the following inferences can be made based on the data?

Answers

Answer:

That sample 2 had a greater amount of people

Step-by-step explanation:

Answer:

Hamburgers and pizza are almost equally preferred

Step-by-step explanation:

(Thanks)

15 is what percentage of 30?
Explain how to calculate this mentally.

Answers

Answer:

Step-by-step explanation:

50

50 step by steps .............!...

SOMEONE HELP ASAP I NEED THIS PLS HALPPPPPPP

Answers

5 units so number 1 :)

I am pretty sure that it is

Number 1

Math sucks at times and we all know that. So, instead of coming onto Brainly for every answer to your math, this website gives you the answers straight away, no typing the question or waiting hours for one. It doesn't have all the answers, just for specific textbooks, but these are the textbooks most people use so meh. Links below people https://www.slader.com/subject/math/homework-help-and-answers/

Answers

Answer:

thanks

Step-by-step explanation:

1100 students attend Ridgewood Junior High School. 4% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?

Answers

Answer:

the answer is 44 students.

Step-by-step explanation:

Answer: 44 students

Step-by-step explanation:

Translate the sentence into an inequality.
Twice c is at most 19.

Answers

Answer:

2c < 19

Step-by-step explanation:

Its not giving you an exact value of what c is so when you see "at most 19" you would use less than or equal to sign ( < ) but if instead said it "at least 19" you would use a greater than or equal to sign ( > ).

is this correct?? if not pls tell me the correct answer :))

(choose the answer that best corrects the misplaced modifier in each sentence. )

Answers

yes that is correct!!
Yes that is correct. Letter D is the right choice

HELPPPPPPPPPPPPPP PLEAASE

Answers

Answer:

3

Step-by-step explana3tion:

2

Answer:

2^5 and 10000000

Step-by-step explanation:

Im not sure how to explain this but for the first one there are 5 two's so exponent 5 and for the second one add 7 zeroes to 1

Help me on this question pls!!!!!

Answers

Answer:

i cant see the picture

Step-by-step explanation:

Consider the following system of equations. 2x + 3y = 12 -4x + 5y = -4 Which of the following equations could be used to create an equivalent system (a system with the same solution)? Select all that apply.
A. -8x + 10y = -4
B. -2x + 8y = 8
C. 6x + 9y = 36
D. 6x - 2y = 8
E. x + 3/2y = 6

Answers

Answer:

b

Step-by-step explanation:

 -2x+8y=8

The answer is
B. -2x + 8y = 8

Find the total surface area of the triangular prism​

Answers

Answer:

29?  i think

Step-by-step explanation:

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