Answer:
Compound interest is better, by $14.36.
Step-by-step explanation:
Simple Interest:
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Total amount in compound interest:
$3,000 in a certificate of deposit that pays 2.8% interest, compounded annually for 4 years. This means, respectively, that [tex]P = 3000, r = 0.028, n = 1, t = 4[/tex]
So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(4) = 3000(1 + \frac{0.028}{1})^{4} = 3350.38[/tex]
Total amount in simple interest:
[tex]P = 3000, I = 0.028, t = 4[/tex]
So
[tex]E = P*I*t = 3000*0.028*4 = 336[/tex]
[tex]T = E + P = 3000 + 336 = 3336[/tex]
Which is better and by how much?
Higher earning with compound interest, so it is better.
3350.36 - 3336 = 14.36
Compound interest is better, by $14.36.
How to get 10 with the numbers 7, 11, 4 and 2 in that order?
Answer:
Huh!! What is this question supposed to mean?
Point KK is located at (5,-4)(5,−4) on the coordinate plane. Point KK is reflected over the xx-axis to create point K'K
What ordered pair describes the location of K'?K
Answer:
The ordered pair that describes the location of K' is (5,4).
Step-by-step explanation:
Reflection over the x-axis:
When a point is reflected over the x-axis, it's x-coordinate stays the same, while the signal of the y-coordinate is changed. So
(x,y) -> (x,-y)
In this question:
Point K(5,-4)
Reflection over the x-axis:
(5,-4) -> (5,-(-4)) -> (5,4)
The ordered pair that describes the location of K' is (5,4).
For every quarter spent, Reggie receives 75 food pebbles to feed the fish at a hatchery. Reggie has thrown 600 food pebbles into the fish pools. How many quarters did Reggie spend at the hatchery?
Answer:
8
Step-by-step explanation:
Based on the scatterplot below what is the most likely value for pounds of apples phone number of Apples is 60
Silas brought an ice chest to the picnic. A model of the ice chest is shown below . 15in Width, 30 inches length, and 15 inches height. What is the volume, in cubic inches of the ice chest?
Answer:
6,750 in.³
Step-by-step explanation:
The ice chest is a rectangular prism or a cuboid.
Volume of the ice chest = volume of rectangular prism = l*w*h
Where,
l = 30 in.
w = 15 in.
h = 15 in.
Volume = 30*15*15 = 6,750 in.³
What is the value of p in the equation
8p +2 = 4p - 102
1) 1
2) -1
3) 3
4) -3
Answer:
-26
Step-by-step explanation:
sorry but from my calculations I didn't get any of the options I got -26
find the area of the triangle
Answer:
Step-by-step explanation:
You know two sides and the angle between them. Use the Law of Cosines to find the third side.
q = √(p²+r²-2pr·cosQ) ≅ 8.533 units
Use Heron's formula to find area
semi-perimeter s = (p+q+r)/2 ≅ 10.317 units
area = √(s(s-p)(s-q)(s-r)) ≅ 16.3 units²
You and three friends order a large pizza and three sodas at Blue Mountain Pizza.
- The sub total is 32.85.
- There is a 7% sales tax
- You want to leave an 18% tip on the price of the meal plus tax.
If the bill is divided evenly how much will each person pay? (Round to the nearest cent)
Please show work!
Answer:
$13.20
Step-by-step explanation:
7% = 0.7 so you add that to $32.85 = $33.55
18% of $33.55 is 6.039 so you add that to $33.55 = 39.589
That is the total of the bill so you divide it by 3
39.589 /3 =13.1963
rounded to the nearest cent is $13.20
help me with this thank you
Answer: think it’s c 4/28
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which function is best represented by this graph
Answer:
ummmmmm you have to show the graph ...
Help on question 5 please :))
Answer:
the answer is I LIKE YOUR CUT G
Step-by-step explanation:
your a bot at fortnite
Answer:
b. Substitute 8x+4 for y in the first equation.
What is the distance between the points (4, 3) and (1,-1) on the coordinate
plane?
what is 9^7 written in expanded form
Answer:
9*9*9*9*9*9*9
Step-by-step explanation:
it's basically 9 multiply by itself for 7 times
Help me out thanks !!!!!
Answer:
B) ∠SBY = 117°
Step-by-step explanation:
interior angles in a pentagon = (5x180) - 360 = 540°
each angle = 540/5 = 108°
interior angles in a octagon = (8x180) - 360 = 1080°
each angle = 1080/8 = 135°
∠SBY = 360 - 108 - 135 = 117°
can someone help me please
Answer:
i think its b
Step-by-step explanation:
The bates family went to eat at hot dog heaven if the bill was $57.25 and they left the server 20% tip what was the final cost of the meal?
Answer:
68.70
Step-by-step explanation:
Find the tip by doing 57.25 x 0.2
Tip=11.45
Add it 57.25+11.45=68.7
68.70
A group of 20 students attempting a MathematicalChallenge have an average age of 11. When their teacher is included their average age is12. What is the age of the teacher?
Answer:
32.
1st get the total age of the students
x/20 = 11
x=11x20
x =220 (total age of students)
add y ( teachers age) to the equation
(220 + y)/21=12
y= 32
Answer:
32
Step-by-step explanation:
20 * 11= 220
21 * 12= 252
252-220=32
a company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. suppose the probability distribution of the lifetimes of the participants in the plan is approximately normal with mean equal to 66.3 years and standard deviation equal to 3.6 years. nine participants are randomly selected. what is the probability that the average age at death of these nine participants will exceed 68 years
Answer:
0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Approximately normal with mean equal to 66.3 years and standard deviation equal to 3.6 years.
This means that [tex]\mu = 66.3, \sigma = 3.6[/tex]
Sample of 9:
This means that [tex]n = 9, s = \frac{3.6}{\sqrt{9}} = 1.2[/tex]
What is the probability that the average age at death of these nine participants will exceed 68 years?
This is 1 subtracted by the pvalue of Z when X = 68. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{68 - 66.3}{1.2}[/tex]
[tex]Z = 1.42[/tex]
[tex]Z = 1.42[/tex] has a pvalue of 0.9222
1 - 0.9222 = 0.0778
0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years
write
[tex] \frac{12}{25?} [/tex]
as a decimal and as a percent
A hat website tracks the number of hats sold for different professional basketball teams. For one team, they sell an average of
1,200 hats per month at $22 each. The company intends to increase the price of each hat by x dollars, and for each $1 Increase, the
average number of hats sold per month decreases by 40. The company needs to make at least $25,000 in revenue to cover their
monthly expenses.
Which inequality could be used to determine the number of $1 Increases for which the company will be able cover their expenses?
o
-4022 - 2,0801 - 26,400 > 25,000
-40.x2 – 3201 - 26,400 > 25,000
O
-40.x2 + 3200 + 26,400 > 25,000
O
-4012 + 2,0801 + 26,400 > 25,000
Answer:
The answer is C.
Step-by-step explanation:
Answer:
-40.x2 + 3200 + 26,400 > 25,000
hope this helps
Write a polynomial function of least degree with zeros: -2, 1 and 3
Answer:
b
Step-by-step explanation:
bnbbn
(fractions) 3/4 + 1/5
Answer:
19/20
Step-by-step explanation:
write all numerators above the least common denominator 20
15+4/20
add the numbers
19/20
Answer: 19/20
Step-by-step explanation:
Find your common denominator
3/4
Multiply by 5
15/20
1/5
Multiply by 4
4/20 + 15/20= 19/20
Hope this helped :)
yo momma is 600 pounds she eats 300 more pounds of food and gets fatter how many more pounds does she need to get to weigh 3000 pounds
Answer:
2100
Step-by-step explanation:
L M A O
A flagpole is 4 meters tall. How many
centimeters tall is the flagpole?
Answer:
400 cm
Step-by-step explanation:
100 centimeters in a meter.
4 * 100 = 400
Hi. I need help with math. 8th grade.
Answer:
260 is the answer. jjrjejjehene
Olivia has 2 gallons and 3 quarts of vanilla ice cream and 1 gallon and 2 quarts of chocolate ice cream left over from a party What is the total number of gallons and quarts of ice cream that Olivia has left over?
Answer:
4 gallons 1 quart total ice cream
first you add the gallons and the quarts.
so, 2 gallons vanilla + 1 gallon chocolate is 3 gallons.
3 quarts vanilla + 2 quarts chocolate is 5 quarts.
4 of the 5 quarts are taken to make up another gallon.
so the answer is 4 gallons 1 quart total ice cream.
Please find the circumference, will give brainliest!
Answer:
43.96
Step-by-step explanation:
this is the questions
Answer and Step-by-step explanation:
To convert degrees into radians, we multiply by [tex]\frac{\pi }{180}[/tex].
13.
40° × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{2\pi }{9}[/tex]
14.
80° × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{4\pi }{9}[/tex]
15.
100° × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{5\pi }{9}[/tex]
16.
12° × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{\pi }{15}[/tex]
These are the answers.
#teamtrees #PAW (Plant And Water)
2/5 x 30 pls help me
Answer:
12
Step-by-step explanation:
Answer:
The answer is 12.
PLEASE HELP I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT 7TH GRADE MATHH
Answer:
990
Step-by-step explanation:
(21*18*2)+(21*3*2)+(18*3*2)
=990