You invested $23,000 in two accounts paying 6% and 7% annual interest, respectively. If the total interest earned for the year was $1560, how much was invested at each rate?

Answers

Answer 1

Answer:

$ 18,000 was invested at 7%, and $ 5,000 was invested at 6%.

Step-by-step explanation:

Given that I invested $ 23,000 in two accounts paying 6% and 7% annual interest, respectively, and the total interest earned for the year was $ 1,560, to determine how much was invested at each rate, the following calculation must be performed:

23,000 x 0.07 + 0 x 0.06 = 1,610

22,000 x 0.07 x 1,000 x 0.06 = 1,600

21,000 x 0.07 x 2,000 x 0.06 = 1,590

20,000 x 0.07 x 3,000 x 0.06 = 1,580

19,000 x 0.07 x 4,000 x 0.06 = 1,570

18,000 x 0.07 x 5,000 x 0.06 = 1,560

Thus, $ 18,000 was invested at 7%, and $ 5,000 was invested at 6%.


Related Questions

Find the area of the following rectangle.
length = 12 ft.
width = 8 ft.

Answers

Answer:

96 ft

Step-by-step explanation:

A= bh

A = 12 x 8

A = 96

Answer:

96 ft^2

Step-by-step explanation:

12*8

Find m A. 110°
B. 70°
C. 250°
D. 55°

Answers

Answer:

A:100°

Step-by-step explanation:

BECAUSE IS THE SAME

it’s A 110

Same side interior angles are equal

3. Classify the number: -4

Answers

Answer:

Aight.

Rational, Real, Integer, Negative

Answer:

It is a rational, real, negative number, and an integer.

Hope that helps!

Step-by-step explanation:

Which of the following inequalities matches the graph? 100 point

Answers

Answer:

[tex] \huge \boxed{ \boxed{\tt y < - 2x + 7 }}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:linear inequalitytips and formulas:linear equation:y=mx+b[tex]m = \frac{ y_{2} - y_{1}}{ x_{2} - x_{1}}[/tex]let's solve:

let's figure out the slope

two points (2,3),(0,7)

[tex]m = \frac{ 3 - 7 }{ 2 - 0}[/tex]

[tex]m = \frac{ - 4}{2} [/tex]

[tex]m = - 2[/tex]

y-intercept:7

therefore

our linear inequality is

[tex] \tt y < - 2x + 7[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

Which of the following inequalities matches the graph?

[tex]\underline{\sf{\red{Fomula \:for\:linear\:equation:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{y = \: mx + b }[/tex]

We have two points which is (2,3)(0,7) and we need to find the slope first.

[tex]\underline{\sf{\red{Fomula \: for \: slope:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{m = \frac{ \small{y} \tiny{2 } - \small{y} \tiny{1}}{\small{x} \tiny{2 } - \small{x} \tiny{1}} }[/tex]

Let's Substitute it.

[tex]\quad\quad\quad\quad\sf{m = \frac{3 - 7}{2 - 0} }[/tex]

[tex]\quad\quad\quad\quad\sf{m = \frac{ - 4}{2} }[/tex]

[tex]\quad\quad\quad\quad\sf{ \boxed{ \sf{m = - 2} }}[/tex]

[tex]\underline{\sf{\red{Solution \: for \: y \: intercept:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{y = \: mx + b }[/tex]

[tex]\quad\quad\quad\quad\sf{y = \: (- 2) + ( - 5) }[/tex]

[tex]\quad\quad\quad\quad \boxed{\sf{y = 7 }}[/tex]

[tex]\underline{\sf{\red{Answer \: for \: inequality:}}}[/tex]

[tex] \huge\quad\quad \underline{\boxed{\sf{ \red{y < - 2x + 7 }}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

✍︎ C.Rose❀

The coordinates of △ABC are as follows: A(0,0); B(0,8); C(6,7). Find the coordinates of the centroid​

Answers

Answer:

centroid is (2,5)

Step-by-step explanation:

1/2(x+2)+7=3x+(-32)

explained pls

Answers

Answer:

x is equal to 16

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Subtract  7 from both sides of the equation

Simplify it

Subtract  3  from both sides of the equation

Simplify

Multiply all terms by the same value to eliminate fraction denominators

Simplify

Subtract  2 from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify!

That's it!

Use the quadratic formula to solve for x. 5x² + 4x=4 Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas.​

Answers

x=0.58, x= -1.38

Quadratic formula is:
(-b-/+ sqrt b^2-4ac)/2a

We need to get the function to equal zero so we subtract 4 from both sides.

5x^2+4x-4=0 is out new equation.

a=5, b=4 and c=-4

Now we can solve by plugging in the variables!

-4+ sqrt 4^2-4(5)(-4)/2(5)= 0.5797

Do the same with subtracting because of the plus OR minus

-4-sqrt 4^2-4(5)(-4)/2(5)= -1.3797

Rounded to the nearest 100th will be:

x= -1.38, x=0.58

You can check your answer by plugging them back into the original function— you should get zero. :)

A tank has a volume of 1,500 liters of water.If you pour 500,000 milliliters out of it how much water will still be in it?

Answers

Answer:

1000

Step-by-step explanation:

first convert the milliliters to liters!

500,000 milliliters = 500 liters

so now we minus 500 liters from 1500 liter.

1500 liter-500 liter=1000 liters.

i will mark you brainliest once you get the answer correct first!!

Answers

Given:

A composed figure of a rectangle, semicircle and another semicircle removed.

To find:

The area of the given figure.

Solution:

From the given figure it is clear that the diameter of semicircle and removed semicircle are same, i.e. 8 cm.

Since the diameter of semicircle are equal, therefore their area is also equal.

The area of the given figure is:

A = Area of the rectangle - Area of removed semi circle + Area of semicircle

A = Area of the rectangle - Area of semicircle + Area of semicircle

A = Area of the rectangle

We know that, the area of a rectangle is

[tex]A=length\times width[/tex]

The length of the rectangle is 14 units and width is 8 units. So, the area of composed figure is

[tex]A=14\times 8[/tex]

[tex]A=112[/tex]

Therefore, the area of the combined figure is 112 sq. units.

Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?

Answers

Answer:

$54

Step-by-step explanation:

300 times 0.06 times 3

0.06 times 3 = 0.18

300 times 0.18 = 54

The simple interest is $54

Answer:

$54

Step-by-step explanation:

A = P(1 + rt)

300(1 + (0.06 × 3)) = 354

Find the surface area of the shape below. Answer in NUMBERS only, NO units. Round your answer to the nearest tenth.

Answers

Step-by-step explanation:

In the given figure, its a cube with edge 7.7 inches.

Surface area = 6a²

Where ‘a’ denotes the edge

→ 6(7.7)²

→ 6 × 59.29

→ 355.74

Rounding nearest tenth :

→ 355.8

Helpppppp meeeeee please

Answers

Answer:

D

Step-by-step explanation:

friend I am not sure but ..u can take a chance fir D or wait for others

D: n x 3/4

I’m pretty sure that’s the right answer.


Need help with quadrilaterals

Answers

The value of x is 72 degrees.

Which Decimal is equivalent to 47/250

Answers

Answer:

0.188?

Step-by-step explanation:

Factorise the following expression :​

Answers

Answer:

The answer is "[tex](p-1) (pq-r^2)[/tex]"

Step-by-step explanation:

Given:

[tex]\to P ^2q-pr^2-pq+r^2\\\\[/tex]

Rearrange the above value:  

[tex]\to P ^2q-pr^2-pq+r^2 = p^2q-pq-pr^2+r^2\\\\[/tex]

                                    [tex]= pq(p-1)-r^2(p-1)\\\\= (p-1)(pq-r^2)\\\\[/tex]


Figures ABCD and PQRS are parallelogram find x and y (lengths are in metres) Part i and ii.​

Answers

Step-by-step explanation:

For 1st question

In a parm ABCD

5x - 4 = 16 ( being opposite sides of parallelogram)

5x = 16 + 4

5x = 20

x = 20 / 5

x = 4

3y + 1 = 22 (being opposite sides of parallelogram)

3y = 22 -1

3y = 21

y = 21 / 3

y = 7

For second question

In parm PQRS

Diagonals bisect each other so

x + 4 = 12

x = 12 - 4

x = 8

x + y = 32

8 + y = 32

y = 32 - 8

y = 24

Hope it will help :)❤

According to the 2018 general social survey (gss), 60% of all u. s. households have at least one pet. a veterinarian in ann arbor decided to conduct a survey to assess if over 60% of all ann arbor households have at least one pet. a 10% significance level was selected to be used. the random sample of 280 ann arbor households, resulted in 182 stating they currently have at least one pet. these results are turned over to you to perform the appropriate test. 1) state the appropriate hypotheses to be tested with a complete definition of the parameter of interest. (the significance level has been selected to be 10%). 2) check the necessary assumption(s) (you may assume that the selected sample is a random sample). 3) perform the appropriate test (include all supporting computations for the test statistic and p-value) 4) give your decision and provide a conclusion in context. your answer needs to be organized well and use labels for your steps 1, 2, 3, and 4. question 8 answer no answer entered.

Answers

Step-by-step explanation:

1. the claim here is that over 60 percents of the households living in ann harbor have pets.

null hypothesis;

h0: p≤0.60

alternative:

h1: p>0.60

2.

n is the size of the sample = 280

n(p) = 280 x 0.60 = 168 greater than 10

n(1-p) = 280(1-0.6) = 280 x 0.4 = 112  greater than 10

we use the normal dist since each of the above are greater than 10

3. n = 280

x = 182

x/n = 182/280

= 0.65

we get the test statistic z

z = [tex]\frac{0.65-0.6}{\sqrt{0.6*(1-0.6)/280} }[/tex]

= [tex]\frac{0.05}{\sqrt{0.000857} }[/tex]

=[tex]\frac{0.05}{0.02927}[/tex]

≈ [tex]1.71[/tex]

we get the p value = 1-p(z<1.71)

= 1-.9562

this gives 0.0438

4. we can see that 0.0438 < 0.10

so we conclude that over 60% of these households have at least one pet since we rejected h0.

Identify the situation that each graph could represent
Time
A. the distance you are from home if you walk to your friend's house, stay there for five minutes, and then walk to school
B. the volume of water in a pool that is being drained at a rate of 50 gallons per minute
C. the height of a ball bounced on the ground
D. the amount of charge left in a cell phone if it is fully charged, then used for a while, turned off for a while, and then used some more

Answers

Answer:

du answer is a

Step-by-step explanation:

hope this helps

have a nice day/night

mark brainiest please

Answer:

Personally, I think it is A or D because the graph shows change and a big change

Step-by-step explanation:

Tbh I go more with A

Solve the simultaneous equations
8x – 3y = 30
3x + y = 7​

Answers

Solve for y in 3x+7=y

y=7−3x

Substitute y=7−3x

y=7−3x into 8x−3y=30

8x−3y=30.

17x−21=30

Solve for x

x in 17x−21=30

17x−21=30.

X=3

Substitute x=3 into y=7−3x

y=-2

Therefore,

x=3

y=−2



A distribution of values is normal with a mean of 200 and a standard deviation of 15. From this distribution, you are drawing samples of size 18.

Find the interval containing the middle-most 70% of sample means:

Answers

Answer:

70÷100×200=140

Step-by-step explanation:

Because 70 is the percentage of 140

HELP ME AGAIN I BEG WALLAHI THIS IS HARD

Answers

Answer: It’s C again lol

Step-by-step explanation:

A ladder leans against a wall 6 ft above the ground. The base of the ladder is 3 ft from the wall. How long is the ladder?

Answers

Answer:

6.71

Step-by-step explanation:

Hopefully this helps! :)

A 2-gallon bottle of bleach costs $14.24. What is the price per pint?

Answers

Answer:

16 divided by 14.24 = 1.12359550562

If you round it would be: $1.12

Answer:

$1.12

Step-by-step explanation:

there are eight pints in a gallon, and since theres two gallons, that mean theres 16 pints. 16 divided by 14.24 is 1.12

Write an expression for "11 more than a."
I

Answers

Answer:

11 + a

OR

a + 11

Hope that helps!

Step-by-step explanation:

Answer:

a + 11

Step-by-step explanation:

Hope this helps!

what is the equation to the point slope form?

Answers

Answer:

The point slope form of a line is

y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line

Step-by-step explanation:

The standard form for a line is

Ax + By +C =0

The slope intercept form for a line is

y = mx+b where m is the slope and b is the y intercept

The point slope form of a line is

y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line

Rise over run so go up the graph and the side ways

I need help with this I’ll give 20 extra points if answers correctly

Answers

Answer:

I think its C ( the 3rd one because thats what photo math said

Step-by-step explanation:

Brainliest plus those 20 points you said you would give?

A tile measures 10cm by 10cm. How many such tiles are required to cover a wall of size 4m and 2.5m?

Pls do NOT spam

Answers

Answer:

Step-by-step explanation:

[4m(2.5m)(100^2cm^2/m^2)]/10^2cm^2=1000 tiles

Answer: 1000

Step-by-step explanation:

10xm×10cm=100cm

400cm×250cm=100000cm

100000cm²÷100cm²=1000

Help me pls give the answer I beg​

Answers

I think the answer is 5,4 hope it helps’

Chelsea writes the expression (n + 1)(n + 2) + 2n for the number of circles used to make the nth figure in the pattern shown.
Drag statements to the table to explain what each term in this expression tells you
about the figure

Answers

Answer:

(n + 1)(n + 2): Number of circles that make the center group of circles

2n: Number of circles on both sides of the center group

Step-by-step explanation:

It makes sense

It was right for me

What year is 7 years after 2003

Answers

Answer: 2010

Step-by-step explanation:

2003+7=2010

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