Answer:
A) 18 students
Step-by-step explanation:
what value do you give rif the
In the monthly payment formula M =
Pr(1 + r)"
(1 + r)" - 1
interest rate is 8.9%?
A. 0.74
B. 0.74
C. 0.0074
D. 0.0089
Answer:
c
Step-by-step explanation:
<3
The monthly rate of interest is 0.0074. Therefore, option C is the correct answer.
What is the rate of interest?An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
The given rate of interest is 8.9%.
The monthly payment formula is M = Pr(1+ r)ⁿ/(1+ r)ⁿ - 1
Here, rate of interest
= 8.9%/12
= 0.089/12
= 0.0074
Therefore, option C is the correct answer.
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When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level. Required:
a. Write a differential equation that expresses the rate of change in the radiation level in terms of the radiation level.
b. Suppose that when the reactor is first shut down, the radiation level is 3 × 1017 units. After 60 s the level has dropped to 5.6 × 1013 units. Write the particular equation.
c. Sketch the graph of radiation level versus time.
d. It is safe to enter the reactor compartment
when the radiation level has dropped to
7 × 10–3 units. Will it be safe to enter the reactor compartment 5 min after the reactor has been shut down? Justify your answer.
Answer:
hold on ill edit this once i get answer!! <3
Step-by-step explanation:
Pleaseee helppp!!! (Im looking for the x)
Answer:
[tex]2x + 15 + x = 171 \\ 3x = 171 - 15 \\ 3x = 156 \\ \frac{3x}{3} = \frac{156}{3} \\ x = 52[/tex]
Step-by-step explanation:
i hope this is helpful
A guard in a 20m tall watchtower spots a vehicle at an angle of depression oi 25
How far horizontally from the tower is the vehicle, to one decimal place? (
Answer:
Solution given:
height[p]=20m
angle of depression [a]=25°
base[b]=?
we have
Tan a=p/b
tan 25=20/b
b=20/tan25
b=42.89 or 43
the tower is 43m far from the vehicle .
Find the value of x.
B
X+2
3
E
2
X
С
A
x = [?]
Answer:
answer is given in up paper. where ans is -1/2
A classroom has a perimeter of 62.25m. What is the absolute error of the perimeter?
0.005m
Step-by-step explanation:Measuring properties of a given entity is always prone to error and hence leads to inaccuracy in the resulting measurement. One of such errors is the absolute error.
Absolute error is the difference between the actual/exact value and measured value.
The classroom has been measured to have a perimeter of 62.25m. This shows that it is accurate to 0.01 of a meter. This means that the actual measurement of the classroom could either be 0.005m more or less than the measured value.
In other words, the actual value of the classroom is
62.25 ± 0.005 m
This difference of 0.005 m gives the absolute error.
A b c or d?? Lmk..Brainly
Answer:
28.3 (b)
Step-by-step explanation:
To solve circumference, you will need to use the equation C = 2 *pi* r
for this, we will use 3.14 for pi and the radius is 4.5 so this is how we need to solve it
C= 2 pi (4.5) Solve 2*4.5
C= 9 pi Now we input 3.14 for pi and multiply
C= 9(3.14)
C= 28.26 Now we round to the nearest tenth to get
C=28.3
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
Answer:
the volume is 600
Step-by-step explanation:
15*8*5=600
v=w*h*l
15 points please help me solve for x
Answer:
82' is the write answer
and like the answer and follow me
Answer:
[tex]x = 73.74[/tex]°.
Step-by-step explanation:
In order to find the angle measure of [tex]x[/tex], you can use the trigonometric function sine to calculate the value of it. Sine is a trigonometric function used in right triangles to solve for the sides and angles, it states that the sine of an angle is equal to the side opposite to it divided by the hypotenuse. In this case, [tex]sin(x)=\frac{48}{50}[/tex]. If you want to isolate the variable [tex]x[/tex] on one side to calculate its value, take the [tex]sin^{-1}[/tex] or arcsine of both sides. [tex]arcsin(sin(x))=arcsin(\frac{48}{50})[/tex] ⇒ [tex]x = arcsin(\frac{48}{50})[/tex] ⇒ [tex]x[/tex] ≈ 73.74°, so that would be the correct answer.
Four less than two times a number is seven times the sum of that number and 8. Which equation
could be used to solve this problem?
1. 4- 2n + 7n = 8
2. 2n - 4 = 7n + 8
3. 2n - 4 = 7(n + 8)
4. 4 - 2n = 7(n + 8)
9514 1404 393
Answer:
3. 2n - 4 = 7(n + 8)
Step-by-step explanation:
Two times a number is 2n. Four less than 2n is (2n-4). The sum of a number and 8 is (n+8). Seven times that sum is 7(n+8). The statement says these values are equal:
2n -4 = 7(n +8)
Sarah earns $340 per week and spends 20% of her earnings on transportation. How much does Sarah spend on transportation every week?
Answer:
$68
Step-by-step explanation:
=> 20% 0f 340
=> (20/100) * 340
=> (1/5) * 340
=> (340/5) = 68
Sarah spends $68 dollar on transportation.
Thenks and mark me brainliest :)
Lemonade will be served in 8 oz cups. One pint=16 oz. How many cups of lemonade in 5 gallons
Answer:
80 cups
Step-by-step explanation:
1 gallon = 128 oz
5x128= 640 oz
640/8=80
i got yelled at for my grandma giving a coney dog at A and W and she got sick is there a way i can cut my dad out of his life
Answer:
this whole sentence confused me a lot
Step-by-step explanation:
yes there is, but it depends on how you want to do it
Answer:
I don't really get what you're implying can you please explain?
Step-by-step explanation:
haha this just really confused me :)
Select the correct answer from each drop-down menu.
40
45
50
55
60
65
70
75 80
85
For this data set, the best measure of center is the
and its value is
brainliest for answer good trade
Answer:
9/22
Step-by-step explanation:
= 1 /2 − 1 /11
= 1 /2 + −1 /11
= 11 /22 + −2 /22
= 11+−2 /22
= 9 /22
(Decimal: 0.409091)
Answer:
9/22
Step-by-step explanation:
multiply 1 by 11, and get 11
multiply 1 by 2, and get 2.
Next we give both terms new denominators -- 2 × 11 = 22
11 − 2 = 9
I really hope you guys will help me
Answer:
I think its
ai. fx-f3
ii. 5gx
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. 72 ÷ 8 − 2 × ( 3 + 1 ) ( 72 ÷ 8 ) − 2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 )
72 / 8 - 2 x 3 + 1 equals 1
(72 / 8) - 2 x 3 + 1 equals 4
72 / (8 - 2) x 3 + 1 equals 37
72 / (8 - 2) x (3 + 1) equals 48
Following Add-On Contains the content I think your doing:
The expressions are arranged in ascending order will be 72÷8−2×(3 + 1) > (72÷8)−2×3+1 > 72÷(8−2)×3+1 > 72÷(8−2)×(3+1).
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The expressions are given below:
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
Simplify the expression, then we have
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
9−2×4, 9−6+1, (72÷6)×3+1, (72÷6)×4
1, 2, 37, 48
More about the ascending order link is given below.
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the circumference of a garden is 91.06 feet. what is the diameter of the garden?
Answer:
radius = 14.5 feet
Step-by-step explanation:
91.06 / 3.14 = diameter = 29
radius = 29/2 = 14.5 feet
A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base. The base needs to be stronger than the sides, so it costs more. The base costs $9 per f t 2 , while the sides only cost $6 per f t 2 . We wish to find the dimensions of the box that minimize the cost of material used.
Answer:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
Step-by-step explanation:
Given
[tex]Volume = 128ft^3[/tex]
[tex]L = 2W[/tex]
[tex]Base\ Cost = \$9/ft^2[/tex]
[tex]Sides\ Cost = \$6/ft^2[/tex]
Required
The dimension that minimizes the cost
The volume is:
[tex]Volume = LWH[/tex]
This gives:
[tex]128 = LWH[/tex]
Substitute [tex]L = 2W[/tex]
[tex]128 = 2W * WH[/tex]
[tex]128 = 2W^2H[/tex]
Make H the subject
[tex]H = \frac{128}{2W^2}[/tex]
[tex]H = \frac{64}{W^2}[/tex]
The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:
[tex]A = LW + 2(WH + LH)[/tex]
The cost is:
[tex]Cost = 9 * LW + 6 * 2(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12H(W + L)[/tex]
Substitute: [tex]H = \frac{64}{W^2}[/tex] and [tex]L = 2W[/tex]
[tex]Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)[/tex]
[tex]Cost =18W^2 + \frac{768}{W^2}*3W[/tex]
[tex]Cost =18W^2 + \frac{2304}{W}[/tex]
To minimize the cost, we differentiate
[tex]C' =2*18W + -1 * 2304W^{-2}[/tex]
Then set to 0
[tex]2*18W + -1 * 2304W^{-2} =0[/tex]
[tex]36W - 2304W^{-2} =0[/tex]
Rewrite as:
[tex]36W = 2304W^{-2}[/tex]
Divide both sides by W
[tex]36 = 2304W^{-3}[/tex]
Rewrite as:
[tex]36 = \frac{2304}{W^3}[/tex]
Solve for [tex]W^3[/tex]
[tex]W^3 = \frac{2304}{36}[/tex]
[tex]W^3 = 64[/tex]
Take cube roots
[tex]W = 4[/tex]
Recall that:
[tex]L = 2W[/tex]
[tex]L = 2 * 4[/tex]
[tex]L = 8[/tex]
[tex]H = \frac{64}{W^2}[/tex]
[tex]H = \frac{64}{4^2}[/tex]
[tex]H = \frac{64}{16}[/tex]
[tex]H = 4[/tex]
Hence, the dimension that minimizes the cost is:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
Solve every last one with step by step for each one Show your work and steps and answers due today. Must do all problems for brainliest. Must do 8-12
Answer:
8 - 12 = -4
Step-by-step explanation:
Answer:
8.
10x-1=14x-37[corresponding side of congruent triangle are equal]
37-1=14x-10x
36=4x
x=36/4
x=9
9.
6x+13=16x-7[corresponding angle of congruent triangle are equal]
13+7=16x-6x
10x=20
x=20/10
x=2
10.
8x-27=4x+33
8x-4x=33+27
4x=60
x=60/4
x=15
PQ=8×15-27=93
11.3x+5=12x-13
13+5=12x-3x
9x=18
x=18/9=2
now
<BDC=12×2-13=11
12.
5x-8=9x-28
28-8=9x-5x
4x=20
x=20/4
x=5
now
<YWX=5x-8+9x-28=5×5-8+9×5-28=34
13..5x-4=2x+5
5x-2x=5+4
3x=9
x=9/3=3
now
ML=5×3-4=11
ML=11
From new question.
You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. When does your balance first exceed $1200?
Answer:
It would take 4 years. The formula for continuously compounded interest is: where P is the principal, r is the interest rate as a decimal number, and t is the number of years.
Step-by-step explanation:
You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. after 11 years your balance first exceed $1200.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
You deposit $800 in an account that pays 3.6% annual interest compounded quarterly.
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
[tex]1200 = 800(1 + \dfrac{3.6}{4})^{4t}\\\\300 = (1 + 0.9)^{4t}\\\\t = 11.4[/tex]
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i will give brainliest
Five friends take a maths test
Adam, Brandon, Chen together together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks
What are their individual scores
Answer:
[tex]Adam = 60[/tex]
[tex]Brandon = 66[/tex]
[tex]Chen = 74[/tex]
[tex]Damion = 75[/tex]
[tex]Erica = 75[/tex]
Step-by-step explanation:
Given
Represent each friend with the first letter of their name
So:
[tex]A + B + C =200[/tex]
[tex]B + C + D = 215[/tex]
[tex]C + D +E= 224[/tex]
[tex]A + B + C + D + E = 350[/tex]
[tex]D , E > C[/tex]
Substitute: [tex]A + B + C =200[/tex] in [tex]A + B + C + D + E = 350[/tex]
[tex]200 + D + E = 350[/tex]
Collect like terms
[tex]D + E = 350-200[/tex]
[tex]D + E = 150[/tex]
Make D + E the subject in [tex]C + D +E= 224[/tex]
[tex]D + E = 224 - C[/tex]
Substitute [tex]D + E = 224 - C[/tex] in [tex]D + E = 150[/tex]
[tex]224 - C = 150[/tex]
Collect like terms
[tex]C = 224 - 150[/tex]
[tex]C = 74[/tex]
Substitute [tex]C = 74[/tex] in [tex]A + B + C =200[/tex] and [tex]B + C + D = 215[/tex]
[tex]A + B + 74 = 200[/tex]
[tex]A + B =- 74 + 200[/tex]
[tex]A + B =126[/tex]
[tex]B + 74 + D = 215[/tex]
[tex]B + D = -74 + 215[/tex]
[tex]B + D = 141[/tex]
So, we have:
[tex]A + B =126[/tex]
[tex]B + D = 141[/tex]
[tex]D + E = 150[/tex]
We have: [tex]D , E > C[/tex]
i.e.
[tex]D , E > 74[/tex] and [tex]D + E = 150[/tex]
For [tex]D , E > 74[/tex] and [tex]D + E = 150[/tex] to be true,
[tex]D = E = 75[/tex]
i.e.
[tex]75 + 75 = 150[/tex]
So, we have:
[tex]D = 75[/tex]
[tex]E = 75[/tex]
[tex]B + D = 141[/tex]
[tex]B + 75 = 141[/tex]
[tex]B = 141 - 75[/tex]
[tex]B = 66[/tex]
[tex]A + B =126[/tex]
[tex]A + 66 = 126[/tex]
[tex]A = 126 - 66[/tex]
[tex]A = 60[/tex]
which geometric series converges?
a. 1/6+1/6+1/6+1/6
b. 1/6+2/6+4/6+8/6
c. 6+12+24+48
d. 6+2+6/9+6/27
Answer:
D
Step-by-step explanation:
Ed2021
The series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.
Which geometric series converges is determined from the options below
a. 1/6+1/6+1/6+1/6 b. 1/6+2/6+4/6+8/6 c. 6+12+24+48 d. 6+2+6/9+6/27.
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Options A B and C have been omitted because the series given in the corresponding option has the increasing order. Option D has a decreasing order with the common ratio between the preceeding values of the series being 1/3. Thus option D is the correct option.
Thus, the series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.
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Interest charged when you miss a payment is called _____. A. accrued interest B. late interest C. past due interest D. late payment interest
Answer:
A
Step-by-step explanation:
Answer:
its d , Late payment interest
Step-by-step explanation:
What is the quotient?
Answer:
4 x 10^12
Step-by-step explanation:
Just subtracte the power since it is division
8- (-4)=12
Degree and Radian Measures
What is the radian equivalent of 90°?
a. π/4
b. π/3
c. π/2
d. π/5
Please select the the best answer from the choices provided
Answer:
C. π/2
Step-by-step explanation:
I calculated it logically
Leta has $45 in her account in May. How much money does she have in her account in August
HELP ASAP!! jjwjwhwjabagajsbs
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
The Unit Circle
What is cos 180°?
a. 0
b. 1
c. -1
d. 1/2
Please select the best answer from the choices provided
Answer:
C. -1
Step-by-step explanation:
I calculated it logically
Answer:
-1
Step-by-step explanation:
cos = opp/hyp
At 180º
adj = -1
hyp = 1
Cos 180 = -1/1 = -1
How to convert the following amounts to a mixed fraction 150/49
Answer:
[tex]3\frac{3}{49}[/tex]
Step-by-step explanation:
This one is pretty simple. 50 fits into 150 perfectly 3 times. If we take one out of the denominator, we must add one to the numerator after every whole number being taken out of the fraction and put in the ones spot.
Answer:
You have to find how many times 49 can fit into 150 and then that number is the whole and the remaining will be the numerator and 49 will stay as the denominator.
Step-by-step explanation: