Someone plz help been stuck on this question for the last 2 hours



Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?

13% interest =$?

Answers

Answer 1

Answer:

7% interest = $10,00013% interest = $20,000

Step-by-step explanation:

First find out what an 11% return on $30,000 is.

= 11% * 30,000

= $3,300

Use simultaneous equations.

Assume the amount to be invested in to make a 7% interest is x and the amount for a 13% interest is y.

0.07x + 0.13y = 3,300

x + y = 30,000

y = 30,000 - x

0.07x + 0.13 (30,000 - x) = 3,300

0.07x + 3,900 - 0.13x = 3,300

0.07x - 0.13x = 3,300 - 3,900

-0.06x = -600

x = -600 / -0.06

x = $10,000

y = 30,000 - x

= 30,000 - 10,000

y = $20,000


Related Questions

TASK 2
Make some shapes
Plot each set of points on a number plane. Join the dots in order and name the shape formed.
1
(0, 0), (5, 0), (5,5) and (0,5)
Name of shape:

Answers

Step-by-step explanation:

The required shape is a square.

Refer to the attachment.

The sides of a square are equal. So, the answer is a square.

[Drawing Courtesy- Brainly app]

What is the volume of this rectangular prism?
cm
3
cm
5
cm
3
cm

Answers

Answer:

2cm³

Step-by-step explanation:

Kaitlin has four and two-thirds berry pies. She is going to share it equally among 12 people. How much pies will each person get?

Answers

Answer:

7/18

Step-by-step explanation:

4 2/3=14/3

(14/3)/12=14/36

reduces to

7/18

absolute value of x=5
what is x

Answers

Answer:

5

Step-by-step explanation:

5 = 5

What is the value of x?

3
4
6
8

Answers

10 + 2x = 18
2x = 18-10
2x = 8
x = 4


if you need y

2y + 4 = 10
2y = 10-4
2y = 6
y = 3

3629 you can use the digits twice make the largest four digit number​

Answers

Answer:

9632

or

9966

Step-by-step explanation:

im not 100% sure

Ten more than four times a number is equal to the difference between 73 and three times the number. Find the number.

Answers

Answer:

let x be the number then,

according to question ,

10+4x=73-3x

or, 4x+3x=73-10

or, 7x= 63

or, x= 63÷7

or,x=9 ans

hence , the number is 9

Do set of numbers DO NOT form a Right Triangle?
4, 5, 6
9, 12, 15
5, 12, 13
3,4,5

It’s not 3,4,5 apparently..

Answers

Step-by-step explanation:

4,5,6 do not form a right angle triangle cus 4²+5² is not equal to 6² i.e 16+25is not equal to 36

. Resolver la siguiente inecuación, utilizar la notación de intervalos y representar el conjunto
solución en la recta real:

3x-1 + x+7 < 2x+5 + 7
5 2 3 ​

Answers

Answer:

bat di mo masagotan bobo kaba ikaw somagot nyan kasi dapat nagaaral kanangmabuti hayop ka wag kang mag patolong

Find the length of the missing side. Round answers to the nearest tenth it
necessary. *
8
8

Answers

si holaaa and orange brown green brown orange brown brown orange orange

Find the solutions of each equation on the interval [0, 2π)

Answers

Answer/Step-by-step explanation:

Factor this. GCF=2

2(2cos2x+cos x-1)=0

2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve

2cos x -1=0 Add 1 to both sides

2cos x =1 Divide by 2

cos x =1/2

x=π/3

x=5π/3

cos x+1=0 Subtract 1 from both sides

cos x=-1

x = π

What is the theoretical possibility of getting one heads and one tails in 2 coin drops with the possibility of it being HH, HT, TT? (heads and heads, heads and tails, tails and tails.)
(please help)

Answers

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =

Step-by-step explanation:

Answer:

48/100

Step-by-step explanation:

because since the tails side is heavier, it is a 51% that it will land on talies and a 49% that it will land on heads.

3) A sample of 42 grams of an unknown substance has a half-life of 1,300 years.

(a) Write an equation to determine the amount of substance, S, left after t years.

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

Answers

Answer:

a) [tex]S(t) = 42(0.9995)^t[/tex]

b) It will take 10,692 years.

Step-by-step explanation:

Exponential function to determine the amount of substance:

An exponential function to determine the amout of substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

(a) Write an equation to determine the amount of substance, S, left after t years.

Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].

We use this to find r. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]

[tex](1-r)^{1300} = 0.5[/tex]

[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]

[tex]1 - r = 0.9995[/tex]

[tex]r = 0.0005[/tex]

Sample of 42 grams means that [tex]A(0) = 42[/tex]. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

Replacing A by S, just for notation purposes

[tex]S(t) = 42(0.9995)^t[/tex]

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

This is t when [tex]S(t) = 0.2[/tex]. So

[tex]S(t) = 42(0.9995)^t[/tex]

[tex]0.2 = 42(0.9995)^t[/tex]

[tex](0.9995)^t = \frac{0.2}{42}[/tex]

[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]

[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]

[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]

[tex]t = 10692[/tex]

It will take 10,692 years.

During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emissions of 240 pounds per 100 miles, with a standard deviation of 20 pounds. A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 252 pounds per 100 miles with a standard deviation of 15 pounds. A quick comparison of the sample variances suggests that the population variances are:

a. probably equal.
b. probably unequal.
c. incomparable.

Answers

Answer:

Probably unequal  ( B )

Step-by-step explanation:

experimental group = 10

using 85% ethanol gasoline

mean = 240 pounds per 100 miles

standard deviation = 20 pounds

control group = 14 vehicles

using regular gasoline

mean = 252 pounds per 100 miles

standard deviation = 15 pounds

comparing  the sample variance of each group shows that they are probably unequal using the equation below

Variance for a sample set of data = ∑ ( x - X ) ^2 / n - 1

where n = number of events

X = mean value

x = value of events

Mark the best answer.
1. The grid map shows the location of
some places on a college campus.
What are the coordinates of the
dormitory? (8-1)
Library
Gymnasium
12 Student
Center
5 4 3 2
Dormitory
I.XI
10
2013
Academic
Hall
A (2.1)
B 12)
CK1-2)
D (2.1)

Answers

Answer:

it makes sense

Step-by-step explanation:

10 Which value of x makes the inequality 3x+3 > 15
true?
A x= 5
B. x = 2
C. x= 3
D. x = 4

Answers

Answer:

A, x=5

Step-by-step explanation:

By simplifying the inequality we get:

The only answer that is greater than 4 is A.

Answer:

yes

Step-by-step explanation:

1. What is 2 added to 1?
4
in​

Answers

Answer:

3

Step-by-step explanation:

what is the 4 in for?

Answer:

2+1=3

I think you copy pasted something else like the '4 in'.

Step-by-step explanation:

2 f(x)=x2 + 2x cómo se evalúa?

a) f(3)
b) f(-1)
c) f(x-3)​

Answers

Answer:

b) f (-1) ese es el resultado

What is the probability that the red die shows a six or the green die shows a six?

Answers

Answer:

[tex]\frac{11}{36}[/tex]

Step-by-step explanation:

= 1/6 + 1/6 - 1/6^2

3(x-4)=12x distributing or diving

Answers

Distribution; 3x-12=12x

NEED HELP W GEOMETRY

In △
ABC, ∡A
is 2 more than twice ∡B
, and ∡C
is 7 less than twice ∡B
. What is the measure of each angle in △
ABC and what is its classifications?

Answers

Answers:

Angle A = 76Angle B = 37Angle C = 67

Triangle ABC is an acute triangle. It's also a scalene triangle.

====================================================

Work Shown:

x = measure of angle B

2x+2 = measure of angle A, since we're told its "2 more than twice angle B"

2x-7 = measure of angle C, for similar reasoning

The three angles add to 180. This is true for any triangle

A+B+C = 180

(2x+2)+(x)+(2x-7) = 180

5x-5 = 180

5x = 180+5

5x = 185

x = 185/5

x = 37

This means angle B is 37 degrees. The other two angles are

A = 2x+2 = 2*37+2 = 74+2 = 76

C = 2x-7 = 2*37-7 = 74-7 = 67

----------------

In summary, we have these three interior angles

A = 76B = 37C = 67

As a way to check, note how A+B+C = 76+37+67 = 180. This confirms the answer. All three angles mentioned are smaller than 90 degrees, so this triangle is acute.

Furthermore, because all three angles are different measures, this means all three sides are different lengths. This leads to triangle ABC being scalene.

k a i ran 3/5 of a kilometer yesterday and today he ran 6 times as far so how much did he run today​

Answers

Answer:

Today, kai ran 1 3/5 kilometers.

Step-by-step explanation:

im sorry if this is incorrect.

Cameron combined peanuts, cashews and walnuts to make a trail mix. The expression 16p+24c+32w represents the total number of nuts in the mix. Cameron wants to divide the trail mix into equal servings, but he does not know how many. Use factoring to write expressions that will help Cameron divide the trail mix into 4 servings or 8 servings.

Answers

72 nuts mix the trail 4 ➕ 8

Answer:

Step-by-step explanation:

Can Some please help

Answers

Answer:

First we need to find out how much is 1 inch in feet

80/5

=16

Now we just simply need to multiply

16x3/4

=12

Your answer is 12

Hope it Helps!!


pa^2 + qb^2 + pb^2 + qa^2​

Answers

Answer:

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Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation,

-1.79, 2 1/4, 2.54,-4


Answers

2.54, 2 1/4, -1.79, -4

HELP EMERGANCY FAST ANSWERS TIME LIMIT
Assume Sheila's nominal salary increases from $42,000 in 2003 to $69,000 in 2004.
If the Deflator increased from 106 in 2003 to 109 in 2004 and the CPI increased
from 184 in 2003 to 190 in 2004, what was Sheila's percentage increase in real
income?
6

Answers

Answer:

E)

Step-by-step explanation:

1 - (69,000 / 42,000) = .64285 * 100% = 64.3%

1/2(m - 3) = 1/4(m - 7)
I
Solve

Answers

½m - ³/₂ = ¹/₄m - ⁷/₄

½m - ¹/₄ m = -⁷/₄ + ³/₂

¹/₄ m = -¹/₄

M=-1

I need the answer ASAP

1. In the figure, x is an exterior angle to the triangle below.

(a) Explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the algebra that proves this theorem.
(b) What is m

Answers

Answer:

109 is the correct answer of this question

Simon mixes dried fruits and nuts to make a trail mix that he sells at the farmer's market. The dried fruits cost $6 per pound. The nuts cost
$2 per pound. It costs Simon $40 to make 12 pounds of trail mix.
Which system of equations can be used to find the number of pounds, x, of dried fruits and the number of pounds, y, of nuts that Simon used
to make 12 pounds of trail mix?

Answers

Answer:

d

Step-by-step explanation:

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