A person invests $4000: part of the investment is at 10% interest and the rest at 12% interest. If she received $460 at the end of the year in interest, how much was invested at each rate?(whole number in dollars)

Answers

Answer 1

Let x be the amount invested at 10%;

SO we have;

.10x=amount invested at 10%

(4000-x).12=amount invested at 12%

So our equation would be;

.10x+(4000-x).12=460

Distribute the 12%;

.10x+480-.12x=460

Put like terms together so you can see them better;

.10x-.12x+480=460

-.02x+480=460;

subtract 480 from both sides;

-.02x=-20

Multiply each side by -.02;

x=1000

Now that we know what was invested at 10% we can subtract that from $4000 to get what was invested at 12%;

$4000-$1000=$3000

Hope you understand

=)


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Step-by-step explanation:

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Identify the terminal point for a 30° angle in a unit circle.
O A (1,
O R. (4,4)
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Answer:

The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).

Step-by-step explanation:

Round 51354 to the nearest thousand.

Answers

Answer:

51000.

Step-by-step explanation:

The thousand digit is 1 and the hundreds digit is 3. As the latter is < 5 we dont round up the 1.

Answer:

51000

Step-by-step explanation:

Can someone please help me I will mark u brilliant

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Answer:

11

Step-by-step explanation:

just count all the Xs from 4 and up

Picture included-11 points-second time

Answers

Answer:

b = 12

Step-by-step explanation:

c^2 = a^2 + b^2

Solving for b,

b^2 = c^2 - a^2

= (13)^2 - (5)^2

= 169 - 25

= 144

or

b = 12

What is the value of p?
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Answers

Answer:

6

Step-by-step explanation:

opposite angles of a parallelogram are always congruent

36=4p+12

24=4p

p=6

A random sample of students were asked which award they would most like to win (Olympic Gold, Academy Award, or Nobel Prize), and asked which portion of the SAT they performed better on, between the Math and the Verbal. The results are summarized in the table below. Use this table to answer the following question.

1. If P(M) is the proportion of students who did better on the Math portion of the SAT who prefer winning an Olympic Gold, and P(V) is the proportion of students who did better on the Verbal portion of the SAT who prefer winning an Olympic Gold. What is the standard error of the distribution of the difference of proportions?

Answers

Answer:

Well would of them just ask how and when they will get it?

Step-by-step explanation:

So sorry if this is wrong.

is -95 an irrational number

Answers

Answer:

I think it is????

Answer:

No, it is not.

An irrational number is real number that cannot be expressed as a ratio of two integers. The number pi or π is a common example of an irrational number since it has an infinite number of digits after the decimal point. Many square roots are also irrational since they cannot be reduced to fractions.

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make any other deposits or withdrawals, how much will be in his account after 72 months?

Answers

Answer:

$15487.5

Step-by-step explanation:

Using the formula for calculating the amount as;

Amount = Principal + Interest

Principal = $15,000

Get the interest

Interest = PRT/100

Interest = 15000*13/4 * 3/100 (72months = 3years)

Interest = 195000/400

Interest = $487.5

Amount = 15000 + 487.5

Amount= $15487.5

Hence he will have $15487.5 in his account after 72months

if the sum of x and 3 is ten ,what is the value of x​

Answers

Answer: 7

Step-by-step explanation:

[tex]x+3=10 \\ \\ x=7[/tex]

What is the equation of a circle with center (-2,3) and radius 4? A. (x + 2)2 +- 3)2 = 16 O B. (x + 2)2 + (y - 3)2 = 4 O C. (x-2)2 + (y + 3)2 = 16 D. (x + 2)2 = (y - 3)2 = 16​

Answers

(x+2)^2 + (y-3)^2 = 4^2

(x+2)^2 + (y-3)^2 = 16

What are the solutions to the equation x2 + 4x - 5 = 0?
On a coordinate plane, a parabola goes through (negative 5, 0), (0, negative 5), and (1, 0).

Answers

2+2x-5=0? It’s x=3/2

Question 2
Salve for then in the measure of are GF

Answers

Answer:

Step-by-step explanation:

I'm pretty sure that GF is showing, as the interior angle  x -65,  it's just kinda hard to see

135-65 = 70° = GF

A hallow sphere sits snugly inside a foam cube so that the sphere touches all sides. Find the volume of the foam. Round answer to nearest tenth.

Answers

Answer:

5832

Step-by-step explanation:

Help Plis....................

Answers

Answer:

1.30

2. 0 im pretty sure

Step-by-step explanation:

if im wong sry

A 4-column table with 2 rows. Column 1 has entries Sample 1, Sample 2. Column 2 is labeled Apple with entries 40, 43. Column 3 is labeled Orange with entries 64, 63. Column 4 is labeled Banana with entries 21, 19.
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Exactly three times as many people prefer bananas as prefer oranges.
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Answers

Answer:

A, B, E

example

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How many integers in the interval [100, 999] are not divisible by 14?

Answers

Answer:

     69

Step-by-step explanation:

Numbers between 100 to 999 which are divided by 13

104,117,130............................988  .

So a=104, d=13 and,an=988  

an=a+(n−1)d  

988=104+(n−1)⋅13  

88413+1=n  

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The public relations officer for a particular city claims the average monthly cost for childcare outside the home for a single child is $600. A potential resident is interested in whether the claim is correct. She obtains a random sample of 14 records and computes the average monthly cost of this type of childcare to be $589 with a standard deviation of $40. Perform the appropriate test of hypothesis for the potential resident using . Approximate the p-value for the test in (a).

Answers

Answer:

Since the calculated value of z= -1.0198 does not lie in the critical region  z = ± 1.96 the null hypothesis is accepted and it is concluded that the  average monthly cost for childcare outside the home for a single child is $600.

P- value  ≈ 0.307823 which supports the null hypothesis .

Step-by-step explanation:

The null and alternate hypotheses are

H0: u = $600   the average monthly cost for childcare outside the home for a single child is $600.

against the claim

Ha:  u ≠ $600 the average monthly cost for childcare outside the home for a single child is  not equal to $600.

The significance level is set at 0.05

3) The critical region is  z =  ±1.96

4) The test statistic

Z=x- u /s/√n

z= 589-600/40/√14

z= -11/10.7681

z= -1.0198

6) Conclusion

Since the calculated value of z= -1.0198 does not lie in the critical region  z = ± 1.96 the null hypothesis is accepted and it is concluded that the  average monthly cost for childcare outside the home for a single child is $600.

P- value  ≈ 0.307823 which supports the null hypothesis .

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Answers

Answer:

y=500x+20000

Step-by-step explanation:

20 points. Help. No links. Ty :)

Answers

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

334

[tex]\huge\boxed{Explanation\hookleftarrow}[/tex]

10 × 4 × 7 = 280

3 × 3 × 6 = 54

280 + 54 = 334

[tex]\huge\boxed{Mark -Brainliest\hookleftarrow}[/tex]

d more than 342 is the same as 90


write this sentence as an equation.​

Answers

Answer:

342 + D = 90

Step-by-step explanation:

We can deduce the following from the statement;

- D is added to 342 so as to make it greater.

- The resulting value is the same as 90 i.e equal in value to 90.

Translating the word problem into an algebraic expression, we have;

342 + D = 90

(-2)(-2)(-2)(-2) in exponential form

Answers

Answer:

[tex] (-2)^{4} [/tex]

Step-by-step explanation:

(-2)(-2)(-2)(-2)

The base is -2.

There are 4 factors of -2, so the exponent is 4.

[tex] (-2)(-2)(-2)(-2) = (-2)^{4} [/tex]

Which expression is equivalent to 128?


Answers

Answer: 2^3 x 2^4

Step-by-step explanation:

The value of the exponential expression is A = 2³.2⁴ = 128

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the value of the exponential equation be A

Now , the first expression is p = 2³

The value of p = 8

Now , the second expression is q = 2⁴

The value of q = 16

From the laws of exponents , we get

p.q = 2³.2⁴ = 2³⁺⁴

The value of A = 2⁷ = 128

Hence , the exponential equation is 2⁷ = 128

To learn more about exponents click :

https://brainly.com/question/28966438

#SPJ5

Assume y varies jointly with x and z. If y = 12 when x = 2 and z = 4, find x when y = 9 and z =6.

Answers

Answer:3

Step-by-step explanation:

7. A box contains 10 black, 12 white, and 18 red balls. One ball is drawn at
random and replaced. (a) Find the theoretical probability that the ball
drawn is black. (b) Balls are chosen and replaced 40 times. Look at the
table below, find the experimental probability that the ball drawn is black.
(c) Compare the experimental probability of the black ball drawn to its
theoretical probability.
Table:
Color. Times picked
black. 15
white. 12
red. 13

Answers

Answer:

1. 10/40 = 1/4

1b. 15/40 = 3/8

1c. 10/40 = 1/4 and 15/40 = 3/8

Step-by-step explanation:

1. So since there are 40 balls (18 + 12 + 10) and 10 of those balls are black the theoretical probability would just be 10 over 40, ([tex]\frac{10}{40}[/tex]).

1b. On the table there are 15 black balls so that would be, [tex]\frac{15}{40}[/tex].

1c. The theoretical probability is 1/4 and the experimental probability is 3/8.

kevin scored 11 points in his last basketball game. if kevin made two more free throws (one point each) then two-point shots, how many of each shot did he make? choose the graph that best depicts this problem.

Answers

Answer:

Kevin made 5 free throws and 3 two-point shots.

Step-by-step explanation:

Given that Kevin scored 11 points in his last basketball game, to determine if Kevin made two more free throws (one point each) than two-point shots how many of each shot did he make, the following calculation must be performed:

11 x 1 + 0 x 2 = 11

6 x 1 + 4 x 2 = 14

5 x 1 + 3 x 2 = 11

Therefore, Kevin made 5 free throws and 3 two-point shots.

Answer:

Step-by-step explanation:

Graph

Heeeelllpp pleaseeeee

Answers

Answer:

A. 12.7

Step-by-step explanation:

If line a is parallel to line b, therefore,

(10x - 13.3) = (8x + 12.1) => alternate interior angles theorem

Solve for x

10x - 13.3 = 8x + 12.1

Collect like terms

10x - 8x = 13.3 + 12.1

2x = 25.4

Divide both sides by 2

x = 25.4/2

x = 12.7

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