A combined total of $53,000 is invested in two bonds that pay 2% and 8.5% simple interest. The annual interest is $3,335.00. How much is invested in each bond? The amount invested at 2% is $ The amount invested at 8.5% is $

Answers

Answer 1

Answer:

8.5 = $35,000

2% = $18,000

Step-by-step explanation:

two equations can be derived from the question

x + y = $53,000 equation 1

0.02x + 0.085y = $3,335.00. equation 2

x = amount invested in 2% bond

y =  amount invested in 8.5% bond

multiply equation 1 by 0.02

0.02x + 0.02y = 1060 equation 3

subtract equation 2 from 3

0.065y = 2275

y = 35,000

substitute for y in equation 1

53,000 - 35,000 = 18,000


Related Questions

What is the solution to the system of equations graphed below?
y=-x+2
y = 5x + 28
O A. (-8,4)
B. (0,2)
C. (-4,8)
D. (4,8)

Answers

Answer:

Y=-3/2x+2  y=5x+28  so -3/2x+2=5x+28

Solve: -13/2x=26  x= -2/13 (26)= -4  The right answer is C (-4,8)

Step-by-step explanation:

15
An electrical short occurs in your 100-
degree hot tub at noon. It causes the
water to increase in temperature 10%
each hour. When will you be able to
boil an egg in your hot tub?
(212 degrees)
A) 5:00 go to 2
B) 6:00 go to 10
C) 7:00 go to 8
D) 8:00 go to 3
E) 9:00 go to 4
BER
NINIS

Answers

Answer:

D.) 8:00

It’s a geometric problem so when plugged in you get answer D

Which of the following is 2/11 closest too?

Answers

Answer:

0

Step-by-step explanation:

You didn't give choices

An object is moving at a speed of 2 centimeters every 7 seconds. Express this speed in meters per week. Round your answer to the nearest whole number.

Answers

Answer:

v = 12121 m per week.

Step-by-step explanation:

Given that,

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s = [tex]1.65\times 10^{-6}\ week[/tex]

Speed = distance/time

So,

[tex]v=\dfrac{0.02\ m}{1.65\times 10^{-6}\ week}\\\\v=12121.21\ m/week \\\\or\\\\v=12121\ m/week[/tex]

So, the speed of the object is 12121 m per week.

Answer:

1728 meters per week, the answer of 1212 was wrong on my test.

Anthony has two bags of marbles the first bag has 10 marbles the second bag has three times as many marbles does the first bag how many marbles does Anthony have all together

Answers

Answer:

the answer is 30 10x3 is 30

Step-by-step explanation:

it says 3 times as many so yeah!

Evaluate.
n ÷ 3 + 3 x 7 for n = 12

A. 4/21
B. 9 1/3
C. 25
D. 49​

Answers

C.25 is the answer 12/3+3x7 12/3=4 3x7=21. 21+4=25

Each side of a square is 6 2/3 m long. Find its Area

Answers

Answer: 80/3

Step-by-step explanation:

The volume of a cylinder is 725x cm”. The radius of the base of the cylinder is 5 cm. What is the height of the cylinder?

Answers

Determine the volume formula for the cylinder. Plug in your given volume and radius to solve for h (height). See image above
Go with the answer the other person commented their correct!

Need help ASAP PLEASE SHOW WORK ITS DUE SOON

Answers

Answer:

15

Step-by-step explanation:

the hypotenuse is the longest part of a right triangle, while the other sides are called the legs.

Answer:

15

Step-by-step explanation:

the measure of the hypotenuse is 15

thank you

Simplify:
3x2 – 2x + 1 = [?]
x=2

Answers

Answer:

9

Step-by-step explanation:

3×2² -2×2 +1 = 3×4-4+1=12-4+1=9

Answer:

9

Step-by-step explanation:

Substitute x = 2 into the expression

3(2)² - 2(2) + 1

= 3(4) - 4 + 1

= 12 - 4 + 1

= 8 + 1

= 9

Can someone help me with this pls there is the picture

Answers

The length is 70 it’s the most logical answer

A painter has finished painting 45% of a really long fence. If she has painted 90 feet so far, how long is the entire fence?

Answers

Answer:

90/45%=200

the entire fence is 200

Amy has a piece of wood that measures 42 inches. The model shows the length remaining after she cut a piece from the 42-inch piece of wood. About how many inches did Amy cut from the 42-inch piece of wood?

Answers

Answer:

She has 42 pieces of wood each of 1 inch of length.

Step-by-step explanation:

Amy has 42 inches piece of wood.

She has to cut an inch.

After cutting pieces of inch each she counts the pieces to be 42.

Mathematically

Total length / unit lenght = Number of pieces

42 inches/ 1 inch= 42 pieces.

She has 42 pieces of wood each of 1 inch of length.

Marco wants to buy a new smartphone that costs $495. He has already saved $75. Write and solve an inequality to find the least amount of money, m, that Marco still needs to save before he can buy the smartphone.

Answers

he needs 420 to buy a new smartphone

State whether each situation is best represented by an exponential
or linear function. Then write an exponential or linear function for
the model and state whether the model is increasing or decreasing.
Enrollment at a school is initially 454 students and grows by 3% per year.
19
G
A salesperson initially earns $50,434 dollars per year and receives a yearly raise
of $675.
(3)
A customer borrows $450 at 5% interest compounded annually.
A wildlife park has 35 zebras and sends 1 zebra to another wildlife park each year.
The value of a house is $546,768 and decreases by 3% each year.
6.
The population of a town is 66,666 people and decreases by 160 people each year.
A business has a total income of $236,000 and revenues go up by 6.4% per year.

Answers

Answer: it's a linear function

The linear function is. S(t) = 50,434 + 675t

The function is increasing

Step-by-step explanation:

I just said this question and I got it right

What is the Area of the compound shape below? *

Answers

Answer:

22m²

Step-by-step explanation:

2 wide, 9 height is 18 for the rectangle figure. We see that the rectangle figure has a width of 2 while the entire width is 4. So 4-2 means the width of the right triangle that's split off is 2.

We see the rectangle height is 5, and total figure is 9, so 9-5 = height of 4 for the triangle.

4x2 x 1/2(since its a triangle) = 4

4+18 = 22

❗️❗️❗️❗️❗️Please I’m begging people, nobody can answer this.
How many solutions does y=7x-5

No solutions
One solution
Many solutions

Answers

Answer:

It can have many solutions

This data shows the ages of everyone on the softball team at the recreation center. 16, 17, 16, 18, 19, 15, 14, 17, 13, 14, 17 What is the IQR (interquartile range) for this data?

Answers

Answer:

19-13=4

Step-by-step explanation:

subtract the smallest number but the biggest and there's your answer

I'M A GOOFY ______ !!!!!
A. Kid
B.Guy
C.Dude
D.Goober

Answers

Answer:

D

Step-by-step explanation:

SPONGEBOB!!

which point is best represented by the ordered pair (2,-5.5)

Answers

Answer:

Point W best represented by the ordered pair (2,-5.5)

1. Answer Questions 1(a) through 1(c) for full credit. Show all necessary work.
(Part 1a: 2 points)
(a) Use the website listed below to identify a major league ballpark in which the distance from the right center field fence to home plate is greater than 375 ft. What is the name and location of the major league ballpark that you identified? What is the distance from home plate to the right center field fence in the ballpark?
Please DO NOT choose Kauffman Stadium of Kansas City or Anaheim Angels Stadium. Website link: http://www.andrewclem.com/Baseball/Stadium_lists.html#by_city
Answer:
Name and location:
Distance from home plate to the right center field fence:
© 2016 K12 Inc. All rights reserved. Page 1 of 2 Copying or distributing without K12’s written consent is prohibited.
Math | Graded Assignment | Honors Project: Trigonometry in Baseball
(Part 1b: 5 points)
(b) Draw and label a figure displaying each of the following details for the major league ballpark that you identified:
∙ A triangle showing the relationship between the distance from home plate to the right center field fence, the distance from the right center field fence to third base, and the distance from third base to home plate. Label the sides of the triangle and the known distances and angle measure.
∙ Label the length of the side that represents the distance from the right center field fence to third base x
Answer:

(Part 1c: 8 points)
(c) What is the distance from the right center field fence to third base? Show all of your work and round your answer to the nearest tenth of a foot.
Answer:

Answers

What is the angle of elevation θ that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.

Distance from Home plate to the center field fence: 425 ft

Height of the center field fence: 8 ft

____________________________

ANSWER:

The fence height = 8ft

The fence height takes 2 ft from the ground and doesn't count towards the angle.

Therefore subtract the difference = 8-2 = 6ft

The fence height from the 2ft to the fence top = 6ft

Angle of elevation (θ):

Tan(θ) = opposite/adjacent

Adjacent = Distance from Home plate to the center field fence = 425 ft

Opposite = 6ft

Tan(θ) = 6/425Tan(θ) = 0.0141θ = arctan(0.0141)arctan = inverse of tangent = tan-¹θ = 0.8078°Angle of elevation (θ) = 0.81°

*CAN SOMEONE HELP ME PLZ*

Answers

Answer:

B) 50

Step-by-step explanation:

<b = x

All angles in a triangle add up to 180 so:

x + 90 + 40 = 180

x + 130 = 180

x = 180 - 130

x = 50

Answer:

I think its 60

Step-by-step explanation:

I hope i did good! Hopefully i helped!

Owen's goal is to drink 6060 ounces of water each day for three days. On the first day, he met \frac{2}{3} 3 2 ​ of his daily goal, on the second day he met \frac{4}{5} 5 4 ​ of his daily goal, and on the third day he only met \frac{1}{4} 4 1 ​ of his daily goal. During the three-day period, how many ounces of water did he drink altogether? Use paper to show your work. ​

Answers

Answer:

Step-by-step explanation:

Owen's goal is to drink 6060 ounces of water each day for three days. On the first day, he met \frac{2}{3} 3 2 ​ of his daily goal, on the second day he met \frac{4}{5} 5 4 ​ of his daily goal, and on the third day he only met \frac{1}{4} 4 1 ​ of his daily goal. During the three-day period, how many ounces of water did he drink altogether? Use paper to show your work.

Which correctly describes a cross section of the square pyramid? Select three options. A square pyramid with 2 foot sides. A cross section parallel to the base is a square with side lengths of 2 ft. A cross section parallel to the base is a square with side lengths of less than 2 ft. A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid. A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid. A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.

Answers

Answer:

B,D,E

Step-by-step explanation:

Answer:

Thanks for The question the guy above his answer is correct thanks for looking I got 100% on the test

Step-by-step explanation:

please find the slope of the line!! i will give you brainliest

Answers

Answer:

I think its 2/2 or 1????

-1
you use rise over run and so you go up 1 space and to the left one space but going to the left is negative so it would be -1

Solve for
32 + 2 = 73 – 1

Answers

Answer:

34 < 72

Step-by-step explanation:

32 + 2 = 73 - 1

34 = 73 - 1

34 = 72

ok ok this is the last one finally
(Muchísimas gracias para todos los que ayudaron a mi lento culo)

Answers

Answer:

31

Step-by-step explanation:

Hope this helped

Cos? Tan? Sin? What is angle V?

Answers

Answer:

60degrees

Step-by-step explanation:

SInce our reference angle is <V;

Opposite = WU = 7√3

Hypotenuse= WV = 14

Using the SOH CAH TOA identity

son m<V = opposite/hypotenuse

sin m<V = 7√3/14

sin m<V = √3/2

m<V = arcsin(√3/2)

m<V = 60degrees

Hence the measure of angle V is 60degrees

I will mark you brainliest if correct

Answers

Answer:

i think its 8.2

Step-by-step explanation:

Please someone help me the question is in the picture above

Answers

Answer:

Step-by-step explanation:

First, convert the equation into slope-intercept form: y > -3x + 5

Second, place a point on (0,5). You can do this by starting at the origin and counting up by 5. This is your y-intercept.

Third, start from your y-intercept and move down 3 and right 1. Draw a point. Keep doing this until you hit the end of the graph.

Fourth, start from your y-intercept and move up 3 and left 1. Draw a point. Keep doing this until you hit the end of the graph.

Then, connect your dots by making a dashed line.

Finally, Shade above the line.

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