Answer:
The number is 20
Step-by-step explanation:
( x / 5 ) - 7 = -3
+7 +7
————————
( x / 5) = 4
*5 *5
————————
x = 20
To Check;
20 / 5 = 4
4 - 7 = -3
Hope this helps!
184 is what percent more than 148
a person invested $330 in an account growing at a rate allowing the money to double every 8 years. Write a function showing the amount of money in the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year, to the nearest hundredth of a percent.
Answer:
The percentage of growth is of 9.05%.
The amount of money in the account after t years is given by [tex]P(t) = 330(1.0905)^t[/tex]
Step-by-step explanation:
Amount of money after t years:
The amount of money in an account after t years is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial deposit and r is the growth rate, as a decimal.
Money doubles every 8 years.
This means that [tex]P(8) = 2P(0)[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]2P(0) = P(0)(1+r)^8[/tex]
[tex](1+r)^8 = 2[/tex]
[tex]\sqrt[8]{(1+r)^8} = \sqrt[8]{2}[/tex]
[tex]1 + r = 2^{\frac{1}{8}}[/tex]
[tex]1 + r = 1.0905[/tex]
[tex]r = 1.0905 - 1[/tex]
[tex]r = 0.0905[/tex]
The percentage of growth is of 0.0905 = 9.05%.
Person invested $330
This means that [tex]P(0) = 330[/tex]
So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 330(1+0.0905)^t[/tex]
[tex]P(t) = 330(1.0905)^t[/tex]
The amount of money in the account after t years is given by [tex]P(t) = 330(1.0905)^t[/tex]
Simone purchased a new car for $18,700. There
was also a 6% sales tax. What was the total
amount Simone paid for the car, including tax?
Answer:
19,822
Step-by-step explanation:
Suppose y varies directly with x. Write an equation relating x and y. y=-12 when x=20
Answer:
[tex]y = 8 - x[/tex]
when x=20 so y=-12
The
Olympic time for men's 400-m hurdles
has been decreasing by about 0.09 seconds per
year since 1930, when the record was 52 seconds.
Predict what the time will be in 2010
Answer:
In 2010 the time will be 44.8 seconds.
Step-by-step explanation:
Given that the Olympic time for men's 400-m hurdles has been decreasing by about 0.09 seconds per year since 1930, when the record was 52 seconds, to predict what the time will be in 2010 the following calculation must be performed:
52 - ((2010 - 1930) x 0.09) = X
52 - (80 x 0.09) = X
52 - 7.2 = X
44.8 = X
Thus, in 2010 the time will be 44.8 seconds.
Naomi receives a base weekly salary of $225 plus a commission of $50 for each cable service
contract she gets signed. A 6% tax is taken out of each paycheck she receives. If Naomi had
9 new clients sign contracts during her last 2-week pay period, how much money in taxes
should she expect to be taken out?
Answer:
$40.50 will be taken out in taxes.
Step-by-step explanation:
First, solve for how much Naomi will receive in a paycheck:
$225 + $50(9)
$225 + $450
$675
Now, solve for 6% tax:
$675 × 0.06
$40.50
The circle graph shows Lenora's activities
during 10 hours at school.
School Activities
Homeroom 7.5%
Newspaper
7.5%
Gym
10.0%
Academic
Classes
50.0%
Lunch 5.0%
Softball
Practice
20.0%
How many more hours does she spend at
softball practice than in homeroom?
Answer:
60.0 I think
Answer:
1.25 hours or 1 hour and 15 minutesStep-by-step explanation:
The difference in time % softball practice than in homeroom:
20% - 7.5% = 12.5%Convert the difference into hours:
12.5*10/100 = 1.25 hours or 1 hour and 15 minutesWrite down the next two terms into the given sequence :
-1; 1; 3 ;
Answer:
5 ;7
explantion:
-1+2=1
1+2=3
3+2=5
5+2=7
the pattern is +2
[tex]if \: a = 3 + 2 \sqrt{2} .find \: a \times \frac{1}{a} [/tex]
Answer:
1
Step-by-step explanation:
Given that,
[tex]a=3+2\sqrt{2}[/tex]
We need to find the value of [tex]a\times \dfrac{1}{a}[/tex].
So,
[tex]=3+2\sqrt{2} \times \dfrac{1}{3+2\sqrt{2}}\\\\=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}[/tex]
As numerator and dinominator is same. It means,
[tex]=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}\\\\=1[/tex]
So, the value of the given expression is equal to 1.
What is the Supplimentary angle of 21°?
Answer:
159 degrees
Step-by-step explanation:
Answer:
159°
Step-by-step explanation:
We can calculate supplementary angles by subtracting the given one angle from 180 degrees. To find the other angle, use the following formula: ∠x = 180° – ∠y or ∠y = 180° – ∠x where ∠x or ∠y is the given angle.
so 180° – ∠ 21= 159°
a. find the area
b. find the perimeter
Answer:
Area= 4y^2 + 14y + 12
Perimeter = 10y + 16
Step-by-step explanation:
Area of a reactangle = length × width
= (4y+6) × (y+2)
= 4y^2 + 6y + 8y + 12
= 4y^2 + 14y + 12
Perimeter of a rectangle = 2 × (a +b)
= 2 × ( 4y + 6 + y+ 2)
= 2 × ( 5y + 8)
= 10y + 16
ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY IF YOU PUT A WRONG ANSWER ILL REPORT YOU FASTER THAN ASSIGMENT IS DUE
Answer: the correct answer should be 160 but you said that didnt work so try 480
Step-by-step explanation:
I just did base times Hight 8*10 which is 80*6=480
hoped this helps:))
Answer:
80
Step-by-step explanation:
V= Bh/3
Area of base= (L × W) ÷2
(8×6)÷2 = 24
Multiply by height
24×10=240
Divide by 3 (since its a pyramid therefore has 3 sides)
240/3=80
80 is your answer
It cost Andrew $21 to buy 7 binders. At this price, how much would it cost him to buy 4 binders?
A cooler contains 12 bottles of apple juice and 18 bottles of orange juice. You reach into the cooler without looking and pull out one bottle of apple juice. Then you reach into cooler and pull out another bottle of juice. What is the probability of pulling apple juice and then pulling another apple juice?
Answer:
P = 0.232
Step-by-step explanation:
In the cooler, we have 12 bottles of apple juice and 18 bottles of orange juice.
This adds up to a total of 30 bottles.
Now we want to find the probability of pulling a bottle of apple juice after you pulled one bottle of apple juice.
The probability of pulling a bottle of apple juice at the beginning is equal to the quotient between the number of apple juice bottles in the cooler and the total number of bottles in the cooler,
This means that 12 out of 30 are apple juice, then the probability of getting first a bottle of apple juice is:
p = 12/30
Now, we want to find the probability of getting another, we will do the same calculation than above, but now the number of bottles of apple juice is 11 (because we took one) and the total number of bottles is 29.
In this case, the probability is:
q = 11/29
The joint probability (the probability of both events happening) is equal to the product of the individual probabilities.
Then the probability of pulling apple juice and then pulling another apple juice is:
P = p*q = (12/30)*(11/29) = 0.232
At a high school with over 500 students, a counselor wants to estimate the mean number of hours per week that students at the school spend in community service activities. The counselor will survey 20 students in the Environmental Club at the school. The mean number of hours for the 20 students will be used to estimate the population mean. Which of the following conditions for inference have not been met?
1. The data are collected using a random sampling method.
2. The sample size is large enough to assume normality of the distribution of sample means.
3. The sample size is less than 10 percent of the population size.
Complete option:
The sample size is less than 10 percent of the population size. A. II onlyB. III onlyC. II and III onlyD. I, II, and III
Answer:
D.) I, II, and III
Step-by-step explanation:
The sample are not well randomly selected as the samples were only selected from a single source, the environmental club in the school.
Similarly only 20 samples were chosen, these 20 samples are not enough to assume normality as the minimum number of samples required to assume normality according to the Central limit theorem is 30 samples or more.
10% of the population size is :
Population size = 5000
0.10 * 5000 = 500 samples
Hence, sample size used is less than 10% of population size.
What is the area of the real object that the scale drawing models?
Scale factor: 1:3
Area =
40 square cm
Answer:120 square cm
Step-by-step explanation:
40 x 3
After basketball practice, 8 players equally shared 3 large bottles of water. What fraction of a bottle did each player get?
If oranges are on sale for $7.27 for 5 lbs, how much would it cost you to buy 2 lbs of
oranges?
please help will get brainliest
(the figure is not drawn to scale)
which one?
154 cm2
217 cm2
308 cm2
5488 cm2
Please help is for now
the answer 16 im pretty sure
find the area of the shaded segment of the circle
9514 1404 393
Answer:
(3/2π -(9/4)√3) m² ≈ 0.8 m²
Step-by-step explanation:
The area of the segment is the difference between the area of the sector and the area of the triangle.
sector area = 1/2r²α . . . . where r is the radius and α is the central angle in radians
triangle area = 1/2r²·sin(α) . . . . same variable definitions
Then the area of the segment is ...
segment area = sector area - triangle area
segment area = (1/2)r²(α -sin(α))
The central angle subtended by the segment is 360° -300° = 60° = π/3 radians
Then the segment area is ...
A = (1/2)(3 m)²(π/3 -√3/2) = (3/2π -(9/4)√3) m² ≈ 0.8 m²
Mihai a măsurat cu pasul său latura unui lot de pământ de forma unui pătrat
şi a constatat că ea cuprinde 93 de paşi. Care este lungimea gardului care
împrejmuieşte lotul dacă Mihai, făcând 3 paşi, parcurge exact 2 m?
Răspuns:
63 metri.
Explicație pas cu pas:
Dat fiind :
Numărul de pași parcurși = 93
3 pași făcuți de Mihai = 2m
Prin urmare, 93 de pași sunt echivalenți cu:
(93 ÷ 3) * 2m
31 * 2 = 63 m
Prin urmare, lungimea laterală a parcelei pătrate = 63 m
Prin urmare, lungimea gardului care împrejmuiește lotul pătrat = 63m
Simplify 16m6-15mn+m6+17mn
Answer:
[tex]17m^6 + 2mn[/tex]
Step-by-step explanation:
[tex]16m^6 -15mn +m^6 + 17mn[/tex]
Combine like terms, rewrite the equation and perform the operations between the coefficients,
[tex]16m^6 +m^6 -15mn+17mn[/tex]
[tex]17m^6 + 2mn[/tex]
15 cm
6 cm
The length is
meters, the width is
meters, and the area is
square meters.
Answer:
90????? There is not a lot of context. 90 is the area
A normal distribution has a mean of 14 and a standard deviation of 4. What percent of values are from 14 to 22?
Answer:
80% of the values will occurs above 68.24.
Step-by-step explain
thinking this is right but im sorry if its wrong
Kazi ran 1.2km how many centimeters did she run
9514 1404 393
Answer:
120,000 cm
Step-by-step explanation:
There are 100 cm in 1 m, and there are 1000 m in 1 km. So, there are 100,000 cm in 1 km.
1.2 km is 120,000 cm
solve for x i’ll give brainlest to the right answer
Answer:
value of x is 11
Step-by-step explanation:
hope it helped!!!
write the following comparison as a ratio reduced to lowest terms.
40 nickels to 50 dimes
Answer:
2.5 : 2
Step-by-step explanation:
Answer:
$2 : $5
Step-by-step explanation:
40 nickels = $2
50 dimes = $5
A diagram shows the dimensions for a local botanical garden. Measure the parallelogram to the nearest 1/4 inch. What is the area of the botanical garden diagram in square inches?
Answer:
4.8 in2
Step-by-step explanation:
2.4 x 2 =4.8
tell me if I'm wrong
Answer:
Step-by-step explanation:
Simplify and write answer in standard form.
Step-by-step explanation:
2x^3 - 10x^2 + 8x -3
hope this helps
