Two investments totaling $58,500 produce an annual income of $3795. One investment yields 5% per year, while the other yields 7% per year. How much is invested at each rate?

Answers

Answer 1

Total investment is =$58500

Annual income produced = $3795

Rate of one investment = 5%

Rate of second investment = 7%

Let the amount invested at 5% be = x

Then, amount invested at 7% rate will be = [tex]58500-x[/tex]

The equation becomes:

5%x + 7%(58500-x) = 3795

= 0.05x + 0.07(58500-x) = 3795

0.05x + 4095 - 0.07x = 3795

0.02x = 300

x = 15000

Hence,  the amount invested at 5% is = $15000

Amount invested at 7% = 58500-15000 = $43500



Related Questions

Marcy job 0.8 mile on Wednesday and 0.9 mile on Thursday how far did she jog on the two days

Answers

Marcy jogged 1.7 miles total. Hope I could help!!

To solve the equation t² - t = 12 by factoring, you would use t(t - 1) = 12 t(t - 1) - 12 = 0 (t - 4)(t + 3) = 0

Answers

t^2-t=12

t^2-t-12=0

(t-4)(t+3)=0

t=4, -t^2-t=12

t^2-t-12=0

(t-4)(t+3)=0

t=4, -t^2-t=12

t^2-t-12=0

(t-4)(t+3)=0

t=4, -t^2-t=12

t^2-t-12=0

(t-4)(t+3)=0


You bought 5 pounds of hamburger meat, and you want to make quarter pounders (each weigh .25 of a pound). How many quarter pounders can you make? Show your work and explain your reasoning.

Answers

You can make 20 quarter pounders based on the information provided. You can show your work by dividing 5 by .25. You need to make both of these a fraction by doing 5/1 x 1/4. This leading you to get 20 making this your answer.

PLEASE Help!! 20 Points!


Explain the difference between algebraic expressions and equations.

Answers

An Expression is a group of numbers, variables, and operators. An equation is described as a mathematical statement.

Hope this helps

Find the value of k the diagram is not to scale.

Answers

Answer:

[tex]k=73[/tex]

Step-by-step explanation:

We have been given a triangle. We are asked to find the value of k for our given triangle.

We will use angle sum property to solve for k. The angle sum property states that all angles of triangle add up-to 180 degrees.

[tex]k+62^{\circ}+45^{\circ}=180^{\circ}[/tex]

[tex]k+107^{\circ}=180^{\circ}[/tex]

[tex]k+107^{\circ}-107^{\circ}=180^{\circ}-107^{\circ}[/tex]

[tex]k=73^{\circ}[/tex]

Therefore, the value of k is 73.

The value of  [tex]\angle{k}[/tex] is [tex]\fbox{\begin\\\ \bf 73^{\circ}\\\end{minispace}}[/tex].

Further explanation:

Consider, the given triangle as [tex]\triangle{ABC}[/tex]  shown in figure 1.

Now, the value of [tex]\angle{A}[/tex] is 62 degree, the value of [tex]\angle{B}[/tex] is 45 degree and the value of [tex]\angle{C}[/tex] is [tex]k[/tex] .

From the property of the triangle, we know that sum of angles of a triangle is equal to 180 degree.

Now, for [tex]\triangle{ABC}[/tex] it can be written as follows:

[tex]A+B+C=180[/tex]                                                    ……(1)

Substitute 62 for [tex]A[/tex], 45 for [tex]B[/tex] and [tex]k[/tex] for [tex]C[/tex] in equation (1) to obtain the value of [tex]k[/tex].

[tex]\begin{aligned}62+45+k&=180\\107+k&=180\\k&=180-107\\k&=73\end{aligned}[/tex]

Thus, the value of angle [tex]k[/tex] is [tex]\fbox{\begin\\\ \bf 73^{\circ}\\\end{minispace}}[/tex].

Learn more:

1. Which rule describes the transformation? https://brainly.com/question/2992432

2. Which undefined term is needed to define an angle? https://brainly.com/question/3717797

3. Look at the figure, which trigonometric ratio should you use to find x? https://brainly.com/question/9880052

Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangle

Keywords: triangle, similar, similarity, ratio of sides, right triangle, similar triangle, ratio of sides, equal angles, square of hypotenuse, sum, square of legs, sum of square of legs, sum of angle of triangle, property of triangle, triangle ABC.

A store clerk has 45 shirts to pack in boxes. Esch box hold 6 shirts what is the fewest boxes the clerk will need to pack akk the shirts

Answers

the fewest boxes is 8 because if you do 7 you are below but if you do 7.5 you can't because you can't use half a box but 8 is a whole box which will fit everything

The function f(x)=2×5x can be used to represent the curve through the points (1,10), (2,50) , and (3,250) what is the multplicative rate of change of the function?

Answers

f(x) = 2(5)ˣ

You can tell from the given equation that (5) is the multiplicative rate of change because 5 is the value being raised to the x-power.  

Let's see if that is true:

x  y

1  10        (10 x 5 = 50) so next y-value should be 50.

2  50       (50 x 5 = 250) so next y-value should be 250.

3  250    

Can you calculate what the next ccordinate will be? (4, ____)   (250 x 5 = 1250)

Answer: 5

I'll Mark The First To Answer And Work Shown Brainliest!!!!!!!! PLEASE HELP ASAP

In 2005, there were 12,000 students at Beacon High. In 2010, there were 12,250. What is the rate of change in the number of students?
a. 250/yr
b. 50/yr
c. 42/yr
d. 200/yr

Answers

b. 50/yr is the answer

Answer:


Step-by-step explanation:

(2005, 12,000)        (2005, 12,000)

   x1          y1                x2           y2

m= (12,250-1200) /  (2010-2005) = 250/5 = 50/1 = or 50

Look at the diagram and the following information to find the value of x.

Note: T is the midpoint of .

PT = 5x + 3 and TQ = 48.


A:x=9
B:x=10
C.x=10.2
D.x=8

Answers

A. PT and TQ are equal since they are both bisected by T. So, set them equal to each other you get the equation:
5x+3 =48
5x=45
x=9

Answer: x=9

Step-by-step explanation:

Use the fractions to write and evaluate a multiplication expression that represents 70% of 400. Compare the answer to the one you got using the model.

Answers

70% can be written as 70/100. So, a multiplication expression showing 70% of 400 can be written as:

400 * (70/100)
400 * 70 = 28,000
28,000/100 = 280

Answer:

[tex]70\% \text{ of } 400=280[/tex]

Step-by-step explanation:

To find : Use the fractions to write and evaluate a multiplication expression that represents 70% of 400.

Solution :

Expression 70% of 400 is written as,

[tex]70\% \text{ of } 400=\frac{70}{100}\times 400[/tex]

[tex]70\% \text{ of } 400=70\times 4[/tex]

[tex]70\% \text{ of } 400=280[/tex]

Therefore, [tex]70\% \text{ of } 400=280[/tex]

An expression is shown below:


square root of 18 plus square root of 2


Which statement is true about the expression?


It is rational and equal to 3.

It is rational and equal to 4.

It is irrational and equal to 3 multiplied by the square root of 2.

It is irrational and equal to 4 multiplied by the square root of 2.

Answers

It is irrational and is = to 4√2
Final answer:

The expression 'square root of 18 plus square root of 2' is irrational and equal to 3 multiplied by the square root of 2.

Explanation:

The expression square root of 18 plus square root of 2 is irrational and equal to 3 multiplied by the square root of 2. To simplify the expression, we can't combine the square roots. Therefore, the expression remains in the form of irrational number multiplied by another irrational number.

Learn more about Properties of Square Roots here:

https://brainly.com/question/17241228

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Please help quickly thanks :)

Answers

(0, 0) → t = 0, w = 0 → w = 0 · 0

(1, 4) → t = 1, w = 4 → w = 1 · 4

(2, 8) → t = 2, w = 8 → w = 2 · 4

(3, 12) → t = 3, w = 12 → w = 3 · 4

Answer: w = 4t

Solve x42=37 x 42 = 3 7 using two different strategies. Explain each strategy.

Answers

Given equation : [tex]\frac{x}{42}=\frac{3}{7}[/tex].

Strategy 1: We can cross mutiply both sides remove fraction form.

On cross multiplication, we get

x * 7 = 3 * 42

7x = 126.

Dividing both sides by 7, we get

x = 18.

Strategy 2: We can find least common denominator(lcd) of both sides and multiplying both sides by that lcd to get rid denominators from both sides.

LCD of 42 and 7 is 42.

Therefore, multiplying both sides by 42, we get

[tex]42\times \frac{x}{42}=42\times\frac{3}{7}[/tex]

x = 6 * 3

x = 18.

A certain arithmetic sequence has this explicit formula for the nth term: an = 11 + (n – 1)(4) The same sequence has this recursive formula: an = an–1 + What number belongs in the blank space in the recursive formula?
a.15
b.11
c.3
d.4

Answers

Answer:

I would say D


Answer:

4

Step-by-step explanation:

A certain arithmetic sequence has this explicit formula for the nth term:

[tex]a_n = 11 + (n- 1)(4)[/tex]

Substitute n = 1

[tex]a_1 = 11 + (1- 1)(4)[/tex]

[tex]a_1 = 11 [/tex]

Substitute n =2

[tex]a_2 = 11 + (2- 1)(4)[/tex]

[tex]a_2 = 15[/tex]

[tex]d= a_2-a_1=15-11=4[/tex]

So,[tex]a_2=a_1+d=11+4=15[/tex] --1

Substitute n = 3

[tex]a_3 = 11 + (3- 1)(4)[/tex]

[tex]a_3 = 19[/tex]

[tex]a_3=a_2+d=15+4=19[/tex] ---2

So, with 1 and 2

Recursive formula : [tex]a_n=a_{n-1}+d[/tex]

Since d is 4

So, the number belongs in the blank space in the recursive formula is 4.

the price p of a clubs membership is $30 foran enrollment fee and $12 per week w tobe a member .Write a function

Answers

The function would be

p = $30 + $12w

or

p = $12w + 30

Final answer:

The function representing the total cost of the club membership is p(w) = 12w + 30, where 'w' is the number of weeks.

Explanation:

The student is essentially asking to write a function which represents the cost of a club membership based on a fixed fee and a weekly cost. This is an example of a linear function in the form of y = mx + b. In this case, 'y' is the total cost 'p', 'm' is the weekly cost $12 (w), 'x' is the number of weeks, and 'b' is the fixed enrollment fee $30.

Thus, the function representing the total cost of the club membership is p(w) = 12w + 30. This equation can be used to find the total cost of the club membership for any number of weeks 'w'.

Learn more about Linear Function here:

https://brainly.com/question/29205018

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Explain the differnce between function and relation and the relationship between the domain and the range of a function.

Answers

A relation is a set of numbers that have a relationship through the use of a domain and a range, while a function is a relation that has a specific set of numbers that causes there to be only be one range of numbers for each domain of numbers. All functions are relations, but all relations are not functions.

Given two sets [tex] A [/tex] and [tex] B [/tex], the "starting" set is called the domain, while the "landing" set is called the codomain.

With that being said, a relation is any way you can associate any number of elements in the domain with every number of elements in the codomain.

A function has more restriction: you can associate one and only one output for every input.

If you visualize this with arrows linking domain and codomain, in order for a relation to be a function, only one arrow can start from each point in the domain.

The domain is thus the set of elements from whence an arrow starts. The range is the subset of the codomain, given by the elements that are reached by at least one arrow.

Customer buys 17.01 in gas and requests one five dollar [$5] lottery ticket, two one dollar [$1] lottery tickets, and one [$3] lottery ticket. He gives you two winning tickets to be redeemed: one for ($5) and the other for ($2). How much change would he receive from a $100 bill?* $20.01 $72.01 $74.99 $79.99 have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to order to have enough for 7 days?* 11 12 13 14

Answers

#1

Answer:

$79.99

Step-by-step explanation:

Add Up All Charges

17.01 + 5 + 2 + 3 = 27.01

Subtract For Winning Lottery Tickets

27.01 - 5 - 2 = 20.01

Subtract Total From $100

100 - 20.01 = 79.99

#2

Answer:

14.

Step by Step Explanation:

Find Out How Many Bars You Use In 7 Days

300 * 7 = 2100

Divide By The Number Of Cases

2100 / 150 = 14

Isaac takes 5 minutes to ride his bike down the hill to school and 10 minutes to ride up the hill from school. He attends school monday through friday. How many minutes does he spend biking to and from school in two weeks? Write an equation to model your work.

Answers

Answer: 150 minutes

5+10= 15 min
15x5=75 min
75x2=150 min

Answer:150 minutes

Step-by-step explanation:

Given

Issac take 5 minutes to ride his bike down the hill to school

and 10 minutes to ride up the hill from school .

So it takes 15 min each day to and from school

He attends school monday through friday

so 5 days in a week

for 5 days it takes  [tex]15\times 5=75 minutes[/tex]

for 2 weeks

[tex]75\times 2=150 minutes [/tex]

What type of lines are these? Y = 2x + 4 and 2y = -4x + 10

Answers

ANSWER

The lines are two intersecting lines. They intersect` at the point [tex](\frac{1}{4}, \frac{9}{2})[/tex]


EXPLANATION


To determine which type of lines, we look for the slopes of the two lines and compare them to see whether they are parallel or perpendicular.


The first line is [tex]y=2x+4--(1)[/tex].


This line is already in the form;


[tex]y=mx+c[/tex], which is referred to as the slope intercept form, where [tex]m=2[/tex] is the slope.


The second line is

[tex]2y=-4x+10[/tex]


Dividing through by 2 gives;


[tex]y=-2x+5--(2)[/tex]


This implies that, this line also has a slope of [tex]-2[/tex].


Since the two slopes are not the same,the lines are not parallel.


Also the the product of the two slopes, [tex]-2\times 2 \ne -1[/tex], hence the two lines are  not perpendicular.



Adding equation (1) and (2) gives;

[tex]2y=9[/tex]


[tex]\Rightarrow y=4.5[/tex]


Putting [tex]y=4.5[/tex] in  equation (1) gives


[tex]4.5=2x+4[/tex]



[tex]\Rightarrow 0.5=2x[/tex]


[tex]\Rightarrow x=\frac{1}{4}[/tex].


Hence the two lines intersect` at the point [tex](\frac{1}{4}, \frac{9}{2})[/tex]








An electronis store had 20% off sale. If a sterreo originally cost 125, how much

Answers

20% percent refers to the rate
So to find 20% off of $125 you have to multiply the rate by the original price and then subtract that number from the original price
First you have to make the percent into a decimal. To do that you have to move the decimal point over to the left two times or divide by 100:
20/100= .20
So the equation would be:
.20 • 125= 25
Now you have to subtract from the original number:
125-25=100
So the answer would be that the stereo would cost 100 with the 20% off sale

How to work this out ?

Answers

Answer:

The solution is (-3, -2).

Step-by-step explanation:

Please note that if you simply add these 2 equations together, 9x - 9x = 0, and you are then left with -5y = 10.  Thus, y = -2.  Subbing -2 for y in the first equation, we get 9x - 8(-2) = -11, or 9x + 16 = -11.

Subtracting 16 from both sides, we get 9x = -27, so that x = -3.

The solution is (-3, -2).


what expressions is the prime factorization of 360?

Answers

Answer,

Prime[1] = 2, Prime[2] = 3, Prime[3] = 5


Hope this helps :-)

What do you call it when a plane comes down in garbage heap

Answers

It is called "trash landing". :)

This is a show of word play which sounds similar to “crash landing” (trash/crash), crash landing is actually an organized landing made by an airplane because of a crisis containing a fast approaching or continuous danger to the well being and activity of the flying machine, but in this case as the plane land in garbage the word “crash” is replaced by “trash” giving a humorous meaning to the phrase.

Hope this helped :)

A crash landing describes a plane coming down in a garbage heap, whereas a stall refers to the loss of lift on an airplane's wings, which may not lead to a crash. The term 'Vomit Comet' is used for an aircraft simulating weightlessness in a controlled fall, different from a crash scenario.

When a plane comes down in a garbage heap, it can be referred to as a crash landing in a less formal context, especially if the aircraft is damaged in the process. In aviation, a stall is a condition in which the airplane's wings lose lift due to an insufficient angle of attack, but it does not necessarily result in a crash. Engine failure, which people often confuse with a stall, does not always result in a plane coming down immediately; pilots are trained to handle such situations and aim for a safe landing. In training simulations, astronauts and pilots may experience controlled falls to mimic various scenarios, such as the 'Vomit Comet' used for simulating weightlessness. However, such controlled descents are carefully managed to avoid accidents.

Environmental aspects can also be considered when relating a plane's descent to garbage heaps. For example, the way resources are depleted and environmental sinks become overwhelmed, as mentioned in 'The Tragedy of the Commons,' can be analogous to how an overloaded trash can at a concert spills over, drawing a parallel to the ecological impacts of mishandled waste.

BEST ANSWER GET TO BE BRAINLYEST+82pts




Estimate the area and perimeter. Each square represents 9 yd2.


area: about 22 yd2; perimeter: about 81 yd

area: about 22 yd2; perimeter: about 27 yd

area: about 198 yd2; perimeter: about 243 yd

area: about 198 yd2; perimeter: about 81 yd

Answers

d im pretty sure

hope this helps

To estimate the area and perimeter, multiply the number of 9 yd2 squares by 9 for the area and count the edge squares for the perimeter, considering that a square yard is 3 feet by 3 feet.

To estimate the area and perimeter of the figure where each square represents 9 yd2, we need to count the total number of squares for the area and the length of the edges in units of squares for the perimeter. If the figure has 22 full squares, then the area is 22 multiplied by 9 yd2, which equals 198 yd2.

To find the perimeter, count the number of squares along the outer edge of the figure, and multiply by the side length of each square. Assuming that the side length of each square is 3 yards (since a square yard is 3 feet by 3 feet, and 1 yard equals 3 feet), if the perimeter in squares is 27, then the perimeter in yards would be 27 yd.

How to solve this problem?

Answers

The answer should be 1y and -6y

Write 5 numbers that round to 360 when rounded to the nearest ten

Answers

360, 356, 364.71547154... , 359.99, and 360.1.

The equation of a line is 4x−3y=−24.

What is the x-intercept of the line?

Answers

x-intercept → y = 0

substitute to 4x - 3y = -24:

4x - 3(0) = -24

4x - 0 = -24

4x = -24   |divide both sides by 4

x = -6


Multiply x5 by x2:



A. x7
B. x4
C. x10
D. x3
E. x2.5

Answers

A [tex]x^{7}[/tex]

add the exponents when multiplying

[tex]x^{5}[/tex]× [tex]x^{2}[/tex] = [tex]x^{5+2}[/tex] = [tex]x^{7}[/tex]


To multiply x5 by x2, you add the exponents, resulting in x7 (option A). This operation follows the laws of exponents in algebra.

When asked to multiply x5 by x2, you are performing an operation in algebra known as exponentiation. According to the laws of exponents, when you multiply two exponential terms with the same base, you add the exponents. Therefore, x5 multiplied by x2 is x7 because 5 + 2 equals 7. The correct answer is A. x7.

Subtract the following fractions.6/11 - 3/11=

Answers

Note that they have the same denominator (11). Because of this, just subtract across

6/11 - 3/11 = 3/11

3/11 is your answer

hope this helps

The answer is 3/11. Because of the common denominators it is 6-3.

PL has endpoints P(4, −6) and L(−2, 1).

The segment is translated using the mapping (x, y) → (x + 5, y).

What are the coordinates of P’ and L’?
P’(9, -6), L’(-2, 1)
P’(4, -6), L’(3, 1)
P’(9, -6), L’(3, 1)☺
P’(9, -1), L’(3, 6)

Answers

I believe it'd be the one with the smiley emoji
Answer:P’(9, -6), L’(3, 1) would be the answer

i just took the assignment and the was correct

have a good day

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