Answer:
$60,832.65
Step-by-step explanation:
The formula for calculating the amount is expressed as;
A = P(1+r)^t
P is the principal = $50,000
r is the rate = 4% = 0.04
Time = 5 years
substitute;
A = 50000(1+0.04)^5
A = 50000(1.04)^5
A = 50,000(1.2167)
A = 60,832.65
Hence the amount of the annual scholarship is $60,832.65
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 4c/( x + 1) dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation? Use the methods outlined in this section to find the minimum.
Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
Of the 292 students at Central Middle School, 25% are on the honor roll.
How many students are on the honor roll?
Answer:
73 students
Step-by-step explanation:
0.25×293=73
find the length of arc CDB. Round your answer to the nearest whole number. Leave your answer in terms of pi
Lenth of CDB=
Answer:
1
Step-by-step explanation:
1
answer please.. need asap. algebra
A 12-sided die is rolled. The set of equally likely outcomes is \ 1.2.3.4.5.6.7.8.9.10.11.12) . Find the probability of rolling a 9
Answer:
1/12
Step-by-step explanation:
The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is . The US EIA updates its estimates of average gas prices on a weekly basis. Assume the standard deviation is for the price of a gallon of regular gasoline and recommend the appropriate sample size for the US EIA to use if they wish to report each of the following margins of error at confidence. Round up to the next whole number.
a. The desired margin of error is $.10. The appropriate sample size is ____.
b. The desired margin of error is $.06. The appropriate sample size is ____.
c. The desired margin of error is $.04. The appropriate sample size is _____.
Answer:
The answer is "23, 62, and 139"
Step-by-step explanation:
In point a:
[tex]\to \sigma = \$0.24\\\\ \to E = \$0.10\\\\ 95\% \text{confidence level of the z}: \\\\\to \alpha = 1 - 95\% = 1 - 0.95 = 0.05\\\\\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\[/tex]
Calculating the sample size:
[tex]\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma)}{E})^2[/tex]
[tex]= (\frac{(1.96 \times 0.24 )}{0.10})^2\\\\= 22.13 \approx 23[/tex]
In point b:
[tex]\to \sigma = \$0.24\\\\\to E = \$0.06\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma )}{E})^2\\\\[/tex]
[tex]= (\frac{(1.96 \times 0.24 )}{0.06})^2\\\\= 61.47 \approx 62[/tex]
In point c:
[tex]\to \sigma = \$0.24\\\\\to E =\$0.04\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma )}{E})^2\\\\[/tex]
[tex]= (\frac{(1.96\times 0.24 )}{0.04})^2 \\\\=138.30 \approx 139[/tex]
using my last points: HELP!
Please need help on this not too sure on it. Anyone have a clue on this
Calvin paints pictures and sells them at art shows. The charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?
Answer:
He made $414.90 in all.
Step-by-step explanation:
56.25 * 6 = $337.50
25.80 * 3 = $77.40
77.40 + 337.50 = $414.90
Last year, 20% of all claims were for weather-related damage (excluding floods), with an average weather-related damage claim being $6,500. What is the expected value (loss or gain) per weather-related claim to Acasa for every customer who chooses plan B?
-$1,380
-$180
$100
$1,180
Acasa Insurance Company offers several plans for home insurance.
Plan A has a $700 yearly premium with a $3,000 deductible.
Plan B has a $1,200 yearly premium with a $1,000 deductible.
Answer:
100
Step-by-step explanation:
i got it right on the test !!
HELLLPP ANY HELPS PLEASE I NEED HELP I AM RUNNING OUT OF TIME !!
Answer:
Option A
x + 2x + x + 15 = 100
Step-by-step explanation:
Shortest side = x
One side twice length of Shortest side = 2x
Another side 15 more = x + 15
Hence, perimeter
=> x + 2x + x + 15 = 100
A rectangular rug measures 9 feet by 6 feet. The rug has two nooverlapping yellow circles that each have a diameter of 3 feet. The part of the rug not covered by the circles is blue. What percentage of the rug is blue
Answer:
54%
Step-by-step explanation:
Answer:
Step-by-step explanation:
oh u do ?
I’ll give points and brainalist for answer / explanation
Answer:
C. 678 in²Step-by-step explanation:
Area of circle: A = πr²foot to inch: 1 ft = 12 inGiven radius of concentric circles:
0.5 ft = 6 in1 ft = 12 in1.5 ft = 18 inThe shaded area:
Area of big circle - area of middle circle + area of small circleπ(18²) - π(12²) + π(6²) ≈ 678 in²Correct choice is C
Consider A is a set and B is another set, if Au B=A n B, then
Select one:
A = B
A = Null
A = U
B = Null
A = B
HOPE IT HELPS YOU...
You earn $35 for washing 5 cars. How much do you earn for washing 4 cars?
Answer:
28
Step-by-step explanation:
brainliest?
Answer:
$28
Step-by-step explanation:
Hello There!
The first thing we want to do is find how much money we earn for washing 1 car
To do so we divide 5 (amount of cars washed) by the money we made from washing those 5 cars
35/5=7
so every car we wash we make 7 dollars
now we multiply the amount of money we make washing one car by 4
4x7=28
so we would earn $28 for washing 4 cars
~TheMathWiz
Write with numbers:
32
Four hundred sixty seven and
100
Please help! Thank you, Picture down Below!
Answer:
A.24
Step-by-step explanation:
that is the.value of x
Answer:
(5x + 15)⁰+ (3x - 3⁰) = 180⁰ ( same side on interior angle theorm)
(8x + 12)⁰= 180⁰
8x = 168⁰
x = 21
Hope it helps u
Ms. Salta buys buffalo wings for a party. If there are 3 servings per buffalo pound, exactly how many servings does she have for 25 pounds.
Answer:
Not sure how many chicken wings to make or buy as appetizers for your ... 6 whole wings (or 1.125 lbs) in order to reach a 6 oz serving of actual chicken. ... That would mean there are approximately 4 to 5 chicken wings in a pound. ... You will need approximately 3 ounces of chicken meat per person as a ...
Missing
Step-by-step explanation:
i think
Apply the problem-solving techniques to solve the following problem Growth Nadia owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many stores did the restaurant operate in 2007?
A.390 stores
B.350 stores
C.420 Stores
D.370 stores
Answer:
D.370 stores
Step-by-step explanation:
The restaurant chain operated 370 stores in 2007
Answer:
D.370 stores
Step-by-step explanation:
Because it is the "Correct Answer"
There are 42 different types of ice cream at the grocery store the probability that ice cream selected at random has chocolate in it is 2/7. How many of ice cream options to the grocery store do not have chocolate?
Answer:
Step-by-step explanation:
42-42(2/7)
42-12
30
There are 30 options with no chocolate.
Timothy Darling wants to buy a new car. He has been pricing a new car that has a base price of $18,905.00. He is interested in several options that total $4,125.50. The destination charge is $600.00. Find the sticker price
Ruby and her friends are going into a restaurant. How much would it cost to buy 3
drinks and 4 tacos if each drink costs $2.25 and each taco costs $4.00? How much
would it cost to buy 3 drinks and 4 tacos if each drink cost $d and each taco cost $t?
Answer:
Step-by-step explanation:
3x2.25=6.75
4x4=16
16+6.75=22.75
Logarithmic and exponential functions are used in which of the following areas?
A. Physical science
B. Social sciences
C. Cooking
D. Electronics
E. business
Answer:
Physical science, electronics, business, and social sciences.
Step-by-step explanation:
Many applications of logarithmic and exponential functions exist in areas like physical science, electronics, business, and social sciences.
Find the unknown length x in the right triangle, to the nearest tenth.
Answer:
x = 13.5
Step-by-step explanation:
sin 40 = x/21
0.6428 = x/21
x = 13.5
If two angles of a triangle are 75° and 40°, how many degrees is the third angle
Answer:65°
Step-by-step explanation:40+75+x=108X=65if f(x) = -x^3 + x^2 + x, find f(-2)
Answer:
Hope this helps let me know
Answer:
-(-2)^3 + (-2)^2 + -2
2^3 -2^2 -2
8+4-2
=10
Identify the parent function of each:
A) Linear Function _______________________________
B) Absolute Value Function ________________________________
C) Quadratic Function ______________________
need answers ASAP pls
Answer:
I think its B.) not completely sure but i think so !!!!:)
1. The rules for adding and subtracting rational expressions are the same as
the rules for adding and subtracting numerical fractions. *
True
False
plz answer this question..plzz
Answer:
[tex]Side\ 3 = 5p^2q + 3r[/tex]
Step-by-step explanation:
Given
[tex]Perimeter = 7p^2q + 13r[/tex]
[tex]Side\ 1 = 14r[/tex]
[tex]Side\ 2 = 2p^2q - 4r[/tex]
Required
Find the length of the third side
Perimeter is calculated as thus:
[tex]Perimeter = Side\ 1 + Side\ 2 + Side\ 3[/tex]
This gives:
[tex]7p^2q + 13r = 14r + 2p^2q - 4r + Side\ 3[/tex]
Collect like terms
[tex]Side\ 3 = 7p^2q - 2p^2q + 13r - 14r + 4r[/tex]
[tex]Side\ 3 = 5p^2q + 3r[/tex]
What is y=2x-3 y=-3/4x-1/4 with work shown please help