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
=)
Round 51354 to the nearest thousand.
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:
Identify the terminal point for a 30° angle in a unit circle.
O A (1,
O R. (4,4)
O c. (9.12)
OD. (1,7)
SUBMIT
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:
(-2)(-2)(-2)(-2) in exponential form
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]
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).
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 .
.Please help with question 21
Answer:
y=500x+20000
Step-by-step explanation:
Vance invests S15,000 in an account that pays 3 1/4% simple interest for 72 months. Assuming Vance doesn't
make any other deposits or withdrawals, how much will be in his account after 72 months?
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
d more than 342 is the same as 90
write this sentence as an equation.
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
if the sum of x and 3 is ten ,what is the value of x
Answer: 7
Step-by-step explanation:
[tex]x+3=10 \\ \\ x=7[/tex]
Help Plis....................
Answer:
1.30
2. 0 im pretty sure
Step-by-step explanation:
if im wong sry
is -95 an irrational number
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.
What is the value of p?
O 6
O 7
08
09
Answer:
6
Step-by-step explanation:
opposite angles of a parallelogram are always congruent
36=4p+12
24=4p
p=6
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
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.
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.
A survey was conducted asking people about their favorite fruit. Which inferences about the population are true based on the data? Check all that apply.
About twice as many people prefer apples as prefer bananas.
Bananas are preferred much less frequently than apples or oranges.
Exactly twice as many people prefer oranges as prefer apples.
Exactly three times as many people prefer bananas as prefer oranges.
The samples show little variation for each fruit.
Answer:
A, B, E
example
all of them are correct give them both a brainly
Question 2
Salve for then in the measure of are GF
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
Help I don’t understand.
Answer:line grapg$
Step-by-step explanation:
2 - 5
put explanation
Answer: -3
Step-by-step explanation: well there is a pretty easy explanation for this because what you pretty much do is you put the answer around by doing 5-2 and just put a negative since the smaller number is in the front.
How many integers in the interval [100, 999] are not divisible by 14?
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
n=69
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.
Answer:
5832
Step-by-step explanation:
Which expression is equivalent to 128?
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
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).
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.
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
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?
Answer:
Well would of them just ask how and when they will get it?
Step-by-step explanation:
So sorry if this is wrong.
can someone please explain to me this image?
Answer:
Complementary
Step-by-step explanation:
ill give brainlist to first answerrrrrrrrrrrrrrrr
Answer:
18
The areas of a rectangle is lxw. You simply multiply by 3 x 6 and get this answer.
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
(x+2)^2 + (y-3)^2 = 4^2
(x+2)^2 + (y-3)^2 = 16
Can someone please help me I will mark u brilliant
Answer:
11
Step-by-step explanation:
just count all the Xs from 4 and up
20 points. Help. No links. Ty :)
[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]
Heeeelllpp pleaseeeee
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
Picture included-11 points-second time
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
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.
Answer:3
Step-by-step explanation: