April invests $30,000, part at 6.5% annual interest and the balance at 4.2% annual interest. How much is invested at each rate if April receives a 1-year interest payment of $1662.50?

Answers

Answer 1

Answer:

$17500 at 6.5% and $12500 at 4.2%

Step-by-step explanation:

Given

Let x be the amount invested at 6.5%Then (30000 - x) is invested at 4.2%

The equation for the interest:

x*6.5/100 + (30000 - x)*4.2/100 = 1662.500.065x + 1260 - 0.042x = 1662.500.023x = 1662.50 - 12600.023x = 402.5x = 402.5/0.023x = 17500

So $17500 invested at 6.5% and $12500 at 4.2%

Answer 2

Answer:

yes

Step-by-step explanation:


Related Questions

2x + y = -2

x + y = 5



The x-coordinate of the solution to the system shown is _____.

3
-7
-3
7

Answers

Answer:

The answer to da question is 3

2x + y = -2 subtract it from
x + y = 5

You get x = -7.

I HATE FREAKING ONLINE SCHOOL WITH A PASSION!!

Answers

Me too, your not alone

Answer:

i feel that lol

Step-by-step explanation:

Jack is playing an online puzzle game. He has 100 points and earns 10 points for each puzzle he solves correctly. He will advance to the next round if his score is over 250 points.

A. 10x + 250 250 D. 100x + 10 > 250

Answers

Step-by-step explanation:

the answer is 10x +100 = 250

Arely has 4 fewer than twice as many music files as Valerie. They have a combined number of 86 music files. Which is the number of music files that Arely has?

Answers

Answer:

56 music files

Step-by-step explanation:

From the above question:

Let the number of music files

Arely has = x

Valerie has = y

Arely has 4 fewer than twice as many music files as Valerie.

x = 2y - 4

They have a combined number of 86 music files.

x + y = 86

We substitute 2y - 4 for x in the above equation

2y - 4 + y = 86

3y - 4 = 86

3y = 86 + 4

3y = 90

Divide both sides by 3

3y/3 = 90/3

y = 30

Hence, Valerie has 30 music files.

The number of music files that Arely has is calculated as:

x = 2y - 4

x = 2(30) - 4

x = 60 - 4

x = 56

Arely has 56 music files

A gazebo is being built near a nature trail. An equation of the line representing the nature trail is y = 13x−4. Each unit in the coordinate plane corresponds to 10 feet. Approximately how far is the gazebo from the nature trail? Round your answer to the nearest foot.

Answers

Answer:

126 feets

Step-by-step explanation:

Given that :

Equation of line repressing nature trail :

y = 13x - 4

Distance of gazebo from nature trail :

Each unit in coordinate plane = 10 feets

Hence,

y = 13(10) - 4

y = 130 - 4

y = 126 feets

Please help I need help

Answers

the lines are c and d

2+2
will mark brainly est

Answers

Answer:

4

Step-by-step explanation:

a light is suspended between two poles as shown. how far above the ground is the light? round to the nearest tenth of a foot

Answers

The answer is 6.6 feet above the ground

Step-by-step explanation: :)

mmon Multiple
mmon multiple (LCM) of the
10, 30, and 15
Numbers

Answers

Answer:45 ?

Step-by-step explanation:

Which is correct please hurry <3

Answers

Answer:

The last one I did the math

Answer:

D

Step-by-step explanation:

bc it is just put it

On a 1 mile track, Runner A has made 18 laps in the time it took Runner B to make 8 laps. If Runner A is running 5 mph faster than Runner B, how fast is each of them running?

Answers

9514 1404 393

Answer:

A: 9 mphB: 4 mph

Step-by-step explanation:

Let b represent the speed of runner B. then the ratio of speeds is ...

  b/(b+5) = 8/18

  18b = 8(b +5) . . . . cross multiply

  10b = 40 . . . . . . . . subtract 8b

  b = 4 . . . . . . . . . . . divide by 10

Runner B's speed is 4 mph; runner A's speed is 5 mph more.

Runner A is running at 9 mph; Runner B is running at 4 mph.

What is the measure of angle x?

Answers

Answer:

X=135

Step-by-step explanation:

180-69-66=45

And the angle of a line is also 180 and 180-45=135

Find the value of c so that the polynomial p(x) is divisible by (x – 3).
p(x) = -x3 + cx2 - 4x + 3

с=

Answers

Answer:

c = 4

Step-by-step explanation:

p(x) is divisible by (x - 3).

So, p(3) = 0

-(3)³ + c(3)² - 4 *3 + 3 = 0

-27 + 9c - 12 + 3 = 0

         9c - 36     = 0

                9c     = 36

                     c = 36/9

c = 4

What is the solution to this system of linear equations?

x + y = 4

x − y = 6

Group of answer choices

(4, 6)

(5, −1)

(6, 4)

(−1, 5)

Answers

Answer:

the answer is (5,-1)

Step-by-step explanation:

if you click on the image it will show you the image full screen

Answer:

It’s c

Step-by-step explanation:

which expressions have the same solution as 3× -4/5 mark all that apply​

Answers

Answer:

Everything except second and third one

Angie paid $66.50 for 3.5 yards of fabric. What is the price of 1 yard of fabric?

Answers

Answer:

$19

Step-by-step explanation:

First you need to make a equation out of given information and this will be easiest to solve as an equation.

3.5      $66.50

1               x

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

3.5:1=66.50:x

3.5x=66.50/:3.5

x=19

On the right side you put one information(in this case number of yards) and on the left other information(cost) and you make proportion from up to down and solve for x.

Solve for v.
2v + 3 = 9
V =

Answers

Answer:

v equals 3

Step-by-step explanation:

2 times 3 is 6 and 6 plus 3 is 9 I hope this helps

Answer:

v = 3

Step-by-step explanation:

Given

2v + 3 = 9 ( subtract 3 from both sides )

2v = 6 ( divide both sides by 2 )

v = 3

A 10,000-gallon swimming pool needs to be emptied. Exactly 2,000 gallons have already been pumped out of the pool and into the tanker. As the pump is pumping water, the amount of water in the pool decreases at a constant rate of 720 gallons per hour. What is the slope and what is the y-intercept

Answers

Answer:

slope = -720

y-intercept: 8,000

Step-by-step explanation:

The slope in this case is a negative slope, since the word "decreased" is being used. The rate of 720 gallons per hour can be seen as -720 / 1, which gives you the -720 slope.

The y-intercept in an equation represents the initial value. Since 2,000 gallons has already been pumped out, the initial value is 8,000.

The constant rate at which the water decreases results in a straight line

function between the volume of water in the tank and time of pumping.

The slope is -720 (gal/hour)

The y-intercept is 8,000 (gallons)

Reasons:

The volume of the swimming pool = 10000 gallon

Volume of water already pumped out = 2,000 gallons

Rate at which the water is being pumped out = 720 gallons per hour

Required:

The slope and y-intercept of the function

Solution:

Volume of water in the tank = (10,000 - 20,000) gallons = 8,000 gallons

Volume of water decreasing from the tank after t hours = 720·t

Therefore;

Volume of water in the tank after t hours, is V(t) = 8000 - 720·t

Comparing the above function with the equation of a straight line, in slope

and intercept form, y = m·x + c, we have;

V(t) = -720·t + 8000

Slope, m = -720y-intercept = 8000

Learn more here:

https://brainly.com/question/13881458

PLEASE HELP!
Use the order of operations to evaluate the expression below.
1 + 27 x (6-3) / (7 + 2) - 5

/ = DIVISION

Answers

The answer to the equation is 5

Hi I really need help with questions 10 and 11, I would really appreciate it if you would answer these for me, thank you so much!!!! and if you would like you could answer number 1 too thank youuuuu, also if you would like to send the answers to my Instagram it’s habibamalikkk

Answers

Answer:-3 and -7 equals 10

Step-by-step explanation: two negatives equal a positive and vice versa. Combining those 2 gives you the highest answer

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 5. If there were 4648 yes votes, what was the total number of votes?

Answers

Answer:

The total number of votes was 7968.

Step-by-step explanation:

From the information given, you know that the ratio of yes votes to no votes was 7 to 5 and you can use a rule of three to find the number of no votes if there were 4648 yes votes:

    7 yes    →   5 no

4648 yes  →      x

x=(4648*5)/7=3320

Now, you have to add up the amount of yes votes and no votes:

4648+3320=7968

According to this, the answer is that the total number of votes was 7968.

Drag each label to the correct location on the graph. Not all labels will be used.
SallorsBay is a boat rental company that offers sailboat rentals for tourists. They charge a certain rate for the rental of a sailboat and
an additional hourly fee according to the length of time for which the tourists rent the boat.
Complete the graph with the appropriate quantities that describe SailorsBay's rental charges.
у
C
Number of Sailboats
Time (weeks)
Rental Charge ($)
Time (days)
Time (hours)
Number of People

Answers

Answer:

Not all labels will be used. ... They charge a certain rate for the rental of a sailboat and an additional ... according to the length of time for which the tourists rent the boat.

Peach Produces pays its employees by the formula, P(b)=52b+45 P b = 5 2 b + 45 , where P(b) P b is the employee’s total daily pay and b is the number of bushels of peaches picked. According to the formula, what is the rate employees are paid per bushel of peaches picked?

A $5.00

B $2.00

C $45.00

D $2.50

Answers

Answer:

$2.50

Step-by-step explanation:

Given the daily pay formula :

P(b)=5/2b+45

P(b) = employee’s total daily pay

b = number of bushels of peaches picked

Hence from the fórmula ; rate which employees are paid per bushel. Of peach picked is the gradient of the equation :

According to the intercept slope formula:

y = mx + c ; where m = slope or gradient

From the equation :

P(b)=5/2b+45

The slope or gradient is 5/2 ; hence, employees are paid $5/2 per bushel of peaches picked.

$5/2 = $2.50

can someone please help me​

Answers

isosceles that’s it

Answer:

isosceles

Step-by-step explanation:

carmen ran 1 3/8 miles yesterday. her sister lola ran 2 1/4 miles how much farther dad lola run than carmen show your work

Answers

Answer:

7/8 miles

Step-by-step explanation:

1/4 can be rewritten as 2/8 to have the same denominator between the two numbers. 2 2/8 - 1 3/8. 2 2/8 - 3/8 = 1 7/8. 1 7/8 - 1 = 7/8

The quotient of eight and a number, subtracted
from five cubed

Answers

Answer:

5^3 - 8/n

Step-by-step explanation:

It helps to think backwards on these sometimes; try starting with the last value and going from there.

HTH :)

8.
Pool X currently has 1,200 gallons of water and is being drained at a rate of 15 gallons per minute. Pool Y is currently empty and is being filled at a constant rate of 25 gallons per minute. Which inequality represents the situation when the amount of water in Pool Y is greater than the amount of water in Pool X?



1,200 - 15x > 25x

1,200 + 15x > 1,200 + 25x

1,200 - 15x < 25x

1,200 + 15x < 25x









What is the y-intercept of the graph of the linear function?

Answers

Answer:

make me the branliest  the answer is C

Step-by-step explanation:

Pool X has 1200 gallons of water in it. It is being drained at a rate of 15 gallons per minute. If lowercase x is the number of minutes, then it has 1200-15x gallons left in the pool.

Consider after 1 minute we have x = 1, so,

1200-15x = 1200-15*1 = 1200-15 = 11185

Then after 2 minutes we have x = 2, which means,

1200-15x = 1200-15*2 = 1200-30 = 11170

is the amount left over in gallons.

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

In contrast, Pool Y is empty and we add 25 gallons per minute. So we start with 0 and add on 25x getting 0+25x = 25x as the expression representing the amount of gallons of water in Pool Y

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

So we found these two expressions

1200-15x

25x

to represent the amount of water (in gallons) for Pool X and Pool Y respectively.

We want to know when Pool Y will have more water. So we get to this final answer

1200 - 15x < 25x

It is in the form A < B, where A  is the amount of water in Pool X and B is the amount of water in Pool Y.

Combine like terms
(x+y)+(x+y)+(x+y)+(x+y)
the combine like terms is

Answers

Answer:

It is 4x + 4y.

Step-by-step explanation:

All you have to do is add all of the y's toghther and then add all of the x's toghther.

Answer:

4x+4y

Step-by-step explanation:

Combine the four "x" so x+x+x+x likewise the four "y" y+y+y+y.

jack works after school. each day he earns a set amount, plus an hourly wage. write a linear function f jack can use to determine his pay. QUICK

Answers

Answer: F(x) =1/2x+5

A pogo stick bounces for 30 m in 10 S what is the bouncers average speed

Answers

Answer:

3m/s

Step-by-step explanation:

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