Given:
Amount = 8700
Time = 3 years
Rate of interest = 24% per annum
To find:
The principal values.
Solution:
Formula for amount:
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting [tex]A=8700,r=24,t=3[/tex], we get
[tex]8700=P\left(1+\dfrac{24}{100}\right)^{3}[/tex]
[tex]8700=P\left(1+0.24\right)^{3}[/tex]
[tex]8700=P\left(1.24\right)^{3}[/tex]
[tex]8700=1.906624P[/tex]
Divide both sides by 1.906624.
[tex]\dfrac{8700}{1.906624}=P[/tex]
[tex]4563.0391729=P[/tex]
[tex]P\approx 4563.04[/tex]
Therefore, the principal value is about 4563.04.
help with this question, please
Answer:
12.57 inches
Step-by-step explanation:
the formula is l = x/360 (2 pi r) so you solve from there
Billy ate 30% of a pizza and Bonnie ate 3/8 of a pizza who ate more
A friend tells you about a recent study dealing with the number of years of teaching experience among current college professors. He remembers the mean but can't recall whether the standard deviation was 6 months, 6 years or 16 years. Which was it?
Answer:
6 years
Step-by-step explanation:
if you add an exclamation I will give you a Brain list
A male animal can weigh up to 6,000 pounds.
How many tons is 6,000 pounds?
6,000 pounds is equivalent to what
tons.
Answer:
it would be 3 tons if I'm correct
Answer: 3 tons
Step-by-step explanation:
1 ton is equal to 2,000 pounds.
Divide 6,000 from 2,000 to find how many tons the animal weighs.
6,000/2,000=3.
Hope this helps!
Which two-way frequency table correctly shows the marginal frequencies?
Answer:
B
Step-by-step explanation:
Which of the following is the equation of the circle shown below?
Answer:
Step-by-step explanation:
Center is 6, -2
Radius is 7
(x-6)^2 + (y + 4)^2 = 7^2
==============
Please give brainliest, I really want to rank up, thank you!
5. chris is a school teacher who earns $32,000 for the 10-month school year. however, the salary is paid out in 12 monthly installments. how much does is the monthly paycheck? _________
Answer:
$2666.66Step-by-step explanation:
Yearly income = $32000Each installment is 1/12 of a yearly income:
$32000/12 = $2666.66Annual salary=32000
Monthly salary
32000/1216000/68000/3$2666.67During the flight of a projectile the x component of the velocity is
A.same during its whole journey
B.maximum when it hits the ground
C. Zero at the highest point
D. Maximum when it leaves the ground
Answer:
D. Maximum when it leaves the ground
PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!
Answer:
Yes
Yes
No
No
Step-by-step explanation:
Paige only needs to sell to 17 more customers to receive a bonus. She works part time, so she only talks to 50 customers per day. With a sales ratio of 1:9, on which day will Paige qualify for a bonus?
Answer:
Paige will qualify for a bonus on her 4th day of work.
Step-by-step explanation:
50 customers per day
needs to sell to 17
Ratio = 1:9
1:9
×17 ×17
17:153
Paige needs to see 153 customers.
153 ÷ 50 = 3.06 ≈ 4 (As the answer is not asking for the exact number of the day you round up to make a whole day without underestimating)
So, Paige will qualify for a bonus on her 4th day of work.
A study was conducted to investigate whether there are regional differences in peanut butter preference in the United States. The country was divided into 7 geographic regions, and in each region a random sample of peanut butter eaters were asked whether they preferred creamy or crunchy peanut butter. The responses were summarized in a 7-by-2 table of counts for each combination of geographic region and creamy or crunchy peanut butter preference. Which of the following tests is the most appropriate for the investigation?
Answer:
C- Chi-square test for Homogeneity
Step-by-step explanation:
Because you're looking for whether there are regional differences in peanut butter into 7 different samples, that means you're searching for i categorical variable in the 7 different random samples, making it a chi-square for homogeneity.
What is the volume of a rectangular crystal with a length (1) of 2.2 cm, a width (w) of 2 cm, and a height
(h) of 1.8 cm?
Answer:
7.92 cm^3
Step-by-step explanation:
To find volume all you have to do is multiply the length, width, and height. The answer would be: l * w * h = 2.2 * 2 * 1.8 = 7.92 cm^3.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
The third answer. Above none.
Step-by-step explanation:
Its flipped 180(completely upside down) and located directly below.
Answer:
6,3
Step-by-step explanation:
whoever gets this correct first gets brainlest
Answer:
f(x) = 4*(5/2)^x
Step-by-step explanation:
First, we know that our function has the points:
(0, 4)
(1, 10)
(2, 25)
The first one (0, 4) means that:
f(0) = 4.
Then you can evaluate the four given functions in x = 0 and see which ones meet this condition (have the outcome equal to 4)
Here we can discard the function f(x) = 15*x - 5 because:
f(0) = 15*0 - 5 = -5
Then this function is discarded.
Now let's look at the second point, (1, 10)
This means that f(1) = 10
Then you can evaluate the remaining functions in x = 1, and see if the outcome is equal to 10.
Here we can discard the first function f(x) = (x + 2)^2 because:
f(1) = (1 + 2)^2 = 3^2 = 9
So the output is not 10 as we wanted.
(while for the other two functions we have)
for f(x) = 6*x + 4
f(1) = 6*1 + 4 = 10
for f(x) = 4*(5/2)^x
f(1) = 4*(5/2)^1 = 4*(5/2) = (4/2)*5 = 10
Now we use the last point, (2, 25)
This means that when x = 2, the outcome needs to be equal to 25.
For the function f(x) = 6*x + 4 we have:
f(2) = 6*2 + 4 = 12 + 4 = 16
So we can discard this one.
Then we could conclude that the remaining option is the correct one, but let's ceck.
f(x) = 4*(5/2)^x
then for x = 2
f(2) = 4*(5/2)^2 = 4*(25/4) = 25
correct.
Then the correct option is f(x) = 4*(5/2)^x
6 Melvin and Roberto played football on two different teams last season.
• Melvin's team won w games.
• Roberto's team won 3 fewer games than Melvin's team.
Which expression can be used to represent the number of games Roberto's
team won last season?
Select one answer.
A W + 3
BW-3
CW.3
Dw3
Answer:
B is the answer
Step-by-step explanation:
This question has two parts. First, answer Part 1. Then, answer Part 2.
Part 1
Which expression does NOT produce the same value for p = 2 as the expression below?
2(p – 1)
A.
p + 2 – p
B.
p – 2 + p
C.
2 + p – 2
D.
2p – 1
Part 2
Which expression is equivalent to 2(p – 1)?
A.
p + 2 – p
B.
p – 2 + p
C.
2 + p – 2
D.
2p – 1
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
B = 145°
Explanation:
Sorry but m∠C > 90° how could it be 35° ?
However if you still need an answer:
B = 180 - C
B = 180 - 35
B = 145°
In circle P, BC=24ft. What is the length of arc AC?
PLEASE HELP I WILL MARK YOU BRAINIEST
Answer:
y < 4
Step-by-step explanation:
2(5y-2) < 36
Divide both sides by 2.
5y-2 < 18
Add 2 to both sides.
5y < 20
Divide both sides by 5 to isolate y.
y < 4
Please please help please
Answer:
5/4
Step-by-step explanation:
6 1/4 is equal to 25/4 and if you do 5 times 5/4 you get 25/4 which is 6 1/4
Answer:
5/4
Step-by-step explanation:
please help :( i don’t understand!
An engineer estimated the weight of a steel beam to be 150 pounds. The actual weight of the beam was 143 pounds.
Find the absolute error and the percent error of the engineer's estimate. If necessary, round your answers to the nearest tenth.
absolute error = ? (pounds)
percent error = ? (%)
Answer:
absolute error: 7 pounds
percent error:4.9%
Step-by-step explanation:
Absolute error:
150-143=7 pounds
Percent error:
=l[tex]\frac{150-143}{143}[/tex] l x 100
=l[tex]\frac{7}{143}[/tex]l x 100
=0.04895x100
=4.895...
=4.9%
what is the answer. Evalute (2/3)2. Thank you
Answer:
4/3
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
[tex] { \frac{2}{3} }^{2} = \frac{4}{9} [/tex]
have a nice day
Hii! I really need help on this with the spree that answers! For 30 points. I don’t wanna waste my points so make sure your answer is right.
Step-by-step explanation:
1. K = 13 (13+5=18)
2. X= 36 (36-12=24)
3. Y = 14 (17=3+14)
4. Z= 24(22=24-2)
5. A=7 (divide both sides by 4)
6. H=12 (12/6=2)
7. B= 10 (100=10*10)
8. Y=42 (6=42/7)
I'm pretty sure that this is correct.
daves first three test scores in algebra were 84%, 88%, and 90%. what does he need to earn on the next test so that his average for all four tests is exactly 90%?
A. 92%
B. 87%
C. 100%
D. 98%
Answer:
C gives you 90.2
Step-by-step explanation:
84+88+90+100=362
362/4=90.2
The radius of the inside circle is 8 inches. The radius of the larger circle is 4 inches more than the radius of the small circle.
What is the area in square inches of the shaded area? Use 3.14 for π and round your answer to the nearest whole number.
Answer:
Area of shaded region=2 ×3.14×R -2×3.14×r(where R is lager radius and r is smaller radius.)
Therefore area of shaded region=2×3.14×12 -2×3.14×8
=2×3.14(12-8)
=6.18 ×4
=24.72 inc^2
Step-by-step explanation:
The diagonals of rhombus MATH intersect at P(4,-5). If the equation of the line that
contains diagonal MT is y = -2x + 3, what is the equation of a line that contains
diagonal AH?
y = 1/2x +5
y = -1/2x-7
y = -2x + 5
y= 1/2x - 7
Answer:
D. y = 1/2x - 7Step-by-step explanation:
The diagonals of a rhombus are perpendicular:
MT ⊥ AHWe have the equation for MT:
y = -2x + 3Perpendicular lines have negative-reciprocal diagonals, therefore AH has slope of 1/2.
Since AH passes through point (4, -5), the equation of the line is:
y - (-5) = 1/2(x - 4)y = 1/2x - 2 - 5y = 1/2x - 7Correct choice is D
In ΔGHI, the measure of ∠I=90°, HI = 1.1 feet, and IG = 7.5 feet. Find the measure of ∠G to the nearest tenth of a degree.
Answer:
8.3
Step-by-step explanation:
Write the slope-intercept form of the equation of the line.
Answer:
y = x + 2
Step-by-step explanation:
Choose any two points from the graph
(0, 2) ; (-2 , 0)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{0-2}{-2-0}\\\\= \frac{-2}{-2}\\\\= 1[/tex]
y - intercept = 2
y = mx + b {m = 1 and b = 2}
y = x + 2
Employee Earnings per
month($)
1
1,200
2
2,600
3
1,800
4
1,450
5
3,500
6
2,800
7
12,500
8
3,200
Answer:
actually its depend on how is he working day by day
WITH STEPS PLEASEE..
Answer:
16+3y=31
3y=31-16
3y=15
y=15/3
y=5
check.
16+3×5
=16+15
=31
