Answer:
A = $3,926.71
Step-by-step explanation:
Given: Principal (P) = $3200, Annual Rate (R) = 4.1%, Time = 5 years
To find: How much money would he have in the account after 5 years, if he made no deposits or withdrawals during that time?
Formula: [tex]A = P(1 + r/n)^nt[/tex]
Solution: Compound interest is one of the most important concepts to understand when managing your finances. It can help you earn a higher return on your savings and investments, but it can also work against you when you're paying interest on a loan
First, convert R as a percent to r as a decimal
r = R/100
r = 4.1/100
r = 0.041 rate per year,
Then solve the equation for A
A = P(1 + r/n)[tex]^{nt}[/tex]
A = 3,200.00(1 + 0.041/12)[tex]^{(12)(5)}[/tex]
A = 3,200.00(1 + 0.003416667)[tex]^{(60)}[/tex]
A = $3,926.71
Hence, Jay would have $3,926.71 after 5 years is if he made no deposits or withdrawals during that time.
What is the product?
Answer:
I believe that it is the 2nd option x(x-1)/2 but I could be wrong sorry if I am
A rectangle has a length of 5cm and a height of 4cm. Find the area of the rectangle
Answer: 20cm
Step-by-step explanation: 5cm x 4cm = 20cm
Hope this Helps!
Answer:
18
Step-by-step explanation:
Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Bella can purchase while staying within her budget.
Step-by-step explanation:
$540 - $353.59 = $186.41
$186.41 - $4.98 = $181.43
$181.43 - $38.67 = $142.8
She has $142.8 left and if she want to buy the outfits for $49.20 she is going to have $93.6 left
add 10 to z, then double the result
Do not simplify any part of the expression.
2(z+10)
2z+20
Answer:
2z+20
look at pic 10 pts will mark brainilest
Answer:
A
Step-by-step explanation:
It’s a
Answer:
A
Step-by-step explanation:
this isa because the 2 rectangles on the net will make the sides and the triangles will finish the prism when u fold it it will be a rectangular prism plz mark me brnliest ill send u friend request
After a late night of studying, Ebony decides to grab a latte before class so she can stay awake through her morning lecture. She has only a one-dollar bill, a five-dollar bill, and a ten-dollar bill in her wallet. She pulls one out and looks at it, but then she puts it back. Distracted by a flyer for a new campus organization, she randomly hands a bill from her wallet to the clerk. Construct a sample space, and find the probability that (a)Both bills have the same value. (b)The second bill is smaller than the first bill. (c)The value of each of the two bills is even. (d)The value of exactly two of the bills is odd. (e)The sum of the values of both bills is less than . Write your answers in exact, simplified form.
Answer:
[tex]P(Same\ Bill) = \frac{1}{3}[/tex]
[tex]P(Second<First\ Bill) = \frac{1}{3}[/tex]
[tex]P(Both\ Even) = \frac{1}{9}[/tex]
[tex]Pr(One\ Odd) = \frac{4}{9}[/tex]
[tex]P(Sum < 10) = \frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]Bills: \$1, \$5, \$10[/tex]
[tex]Selection = 2\ bills[/tex]
The sample space is as follows:
This implies that we construct possible outcome that Ebony selects a bill, returns the bill and then select another.
This means that there are possibilities that the same bill is selected twice.
So, the sample space is as follows:
[tex]S = \{(1,1), (1,5), (1,10), (5,1), (5,5), (5,10), (10,1), (10,5), (10,10)\}[/tex]
[tex]n(S) = 9[/tex]
Solving (a): [tex]P(Same\ Bill)[/tex]
This means that the first and second bill selected are the same.
The outcome of this are:
[tex]Same = \{(1,1),(5,5),(10,10)\}[/tex]
[tex]n(Same\ Bill) = 3[/tex]
The probability is:
[tex]P(Same\ Bill) = \frac{n(Same\ Bill)}{n(S)}[/tex]
[tex]P(Same\ Bill) = \frac{3}{9}[/tex]
[tex]P(Same\ Bill) = \frac{1}{3}[/tex]
Solving (a): [tex]P(Second < First\ Bill)[/tex]
This means that the second bill selected is less than the first.
The outcome of this are:
[tex]Second < First = \{(1,5), (1,10), (5,10)\}[/tex]
[tex]n(Second < First) = 3[/tex]
The probability is:
[tex]P(Second<First\ Bill) = \frac{n(Second<First\ Bill)}{n(S)}[/tex]
[tex]P(Second<First\ Bill) = \frac{3}{9}[/tex]
[tex]P(Second<First\ Bill) = \frac{1}{3}[/tex]
Solving (c): [tex]P(Both\ Even)[/tex]
This means that the first and the second bill are even
The outcome of this are:
[tex]Both\ Even = \{(10,10)\}[/tex]
[tex]n(Both\ Even) = 1[/tex]
The probability is:
[tex]P(Both\ Even) = \frac{n(Both\ Even)}{n(S)}[/tex]
[tex]P(Both\ Even) = \frac{1}{9}[/tex]
Solving (e): [tex]P(Sum < 10)[/tex]
This question has missing details.
The correct question is to determine the probability that, the sum of both bills is less than 10
The outcome of this are:
[tex]One\ Odd = \{(1,10), (5,10), (10,1), (10,5)\}[/tex]
[tex]n(One\ Odd) = 4[/tex]
The probability is:
[tex]Pr(One\ Odd) = \frac{n(One\ Odd)}{n(S)}[/tex]
[tex]Pr(One\ Odd) = \frac{4}{9}[/tex]
Solving (d): [tex]P(One\ Odd)[/tex]
This question has missing details.
The correct question is to determine the probability that, exactly one of the bills is 0dd
The outcome of this are:
[tex]Sum < 10 = \{(1,1), (1,5), (5,1)\}[/tex]
[tex]n(Sum < 10) = 3[/tex]
The probability is:
[tex]P(Sum < 10) = \frac{n(Sum < 10)}{n(S)}[/tex]
[tex]P(Sum < 10) = \frac{3}{9}[/tex]
[tex]P(Sum < 10) = \frac{1}{3}[/tex]
The value of a angle
The sum of adjacent angles equals 180 degrees. Opposite angles are equal, so if you know the value of one angle, its opposite partner will have the same value. For example, if the value of one angle is 75 degrees its adjacent angle will be 105 degrees and its opposite angle will also be 75 degrees.
QUICK If r+t = r and r−t = −s which of the following must be equal to t?
(A) −s
(B) −r
(C) 0
(D) r
(E) s
Answer:
C) 0
brainliest plz
The value of t on solving the equations r + t = r and r − t = − s is 0 and s + r so, option C is correct.
What is the equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
r + t = r and r − t = − s
Calculate the value of t as shown below,
t = r - r (Transform the equation as shown)
t = 0
-t = -s - r
t = s + r
Thus, the value of t can be 0 and s + r.
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7. A city is building a fence around a rectangular playground. If the perimeter of the playground is 100 feet and the length of one side of the fence is 32 feet, what is the width of the playground?
Answer:
100-32=68
Step-by-step explanation:
there are 68 feets on the playground
If b=5 what is b3 answer?
Answer:
15
Step-by-step explanation:
We know that b=5. Therefore, b is 5. Therefore, we plug this into the expression. (5)3. 5 times 3 is equal to 15. Therefore, the answer is 15.
If this has helped you please mark as brainliest
Which expression is equivalent to?
Answer:
D
Step-by-step explanation:
multiply the inside by -0.5
Answer:
[tex]-3\left(x-2\right)[/tex]
Step-by-step explanation:
[tex]\frac{-1}{2}\left(6x-12\right)=\frac{\left(-1\right)\left(6x-12\right)}{2}==-\frac{\left(6x-12\right)}{2}=-3\left(x-2\right)[/tex]
Helpppp Please Please pretty please help this is TIMES NO LINKS or I WILL REPORT YOU I will mark brainliest please give explanation please
Answer:
W = 15.5 in.
A = 240.25 in.^2
Step-by-step explanation:
L = 31 in.
W = 1/2 W = 15.5 in.
A = LW/2
A = 31 in. * 15.5 in. / 2
A = 240.25 in.^2
The depth of a river at flood stage is marked as "O" on a tall pole in the middle of a riverbank. The pole is marked in 1-foot intervals above
and below 0 to show the current depth of the water.
Drag a value and a word to the blanks to complete the sentence.
When the water level is at the "-4" mark on the pole, the river is
feet
the flood stage.
Answer:
When the water level is at the "-4" mark on the pole, the river is 4 feet below the flood stage.
Step-by-step explanation:
Given
[tex]Flood\ stage = 0[/tex]
Required
What does -4 represents
From the question, we can deduce that:
[tex]Above = +ve\ intervals[/tex]
[tex]Below = -ve\ intervals[/tex]
-4 belongs to the "below" category.
Hence, -4 mark represents 4 feet below the flood stage
Does anyone know this ??
Answer:
C
Step-by-step explanation:
because I took the test
In testing to see whether opinion with respect to the use of instant replay is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a p-value less than 0.001 were calculated. Which of the following statements is correct?
a. The number of degrees of freedom for the test is 8 - 1 = 7.
b. The chi-square test should not have been used because two of the counts in the table are less than 5.
c. The null hypothesis states that there is an association between category and opinion about the use of instant replay, and the small p-value suggests that the null hypothesis should be rejected.
d. The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.
e. The chi-square test shows that fans favor the use of instant replay.
Answer: (D) The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.
Step-by-step explanation:
From the P-value supplied, it shows that the researcher was 99% confident of the experiment and have 1% chance of error.
Given that the p-value less than 0.001 were calculated, it translates that there is a statistical dependency between the category of the people interviewed and opinion about the use of instant replay.
The number of newspaper subscriptions currently sold in a city is 15,895. The
number of newspaper subscriptions has been decreasing at a rate of 12.8% per year.
What is the best prediction for the number of newspaper subscriptions the company
will have in 5 years? Round answer to a whole number. Only type the number in the
blank, nothing else.
Answer:
About 8014 subscriptions.
Step-by-step explanation:
We can write an exponential function to model the situation.
The standard form of an exponential function is given by:
[tex]f(x)=a(r)^x[/tex]
The current newspaper subscriptions is 15,895. So, a = 15895.
It has been decreasing at a rate of 12.8% each year.
In other words, the number of subscriptions next year will be 100% - 12.8% = 87.2% or 0.872 of the previous year. Thus, r = 0.872.
So, our function is:
[tex]f(x)=15895(0.872)^x[/tex]
Where x is the time that has passed in years.
So the number of newspaper subscriptions after five years will be:
[tex]f(5)=15895(0.872)^5\approx8014\text{ subscriptions}[/tex]
Find the x-intercept of the following equation: 9x^2 + 2y=18
Step-by-step explanation:
To get the x-intercept, set y = 0. Then solve for x:
[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]
Therefore, the x-intercept is
[tex]( \sqrt{2} \: \: \: \: 0)[/tex]
Shannon has 1 nickel, 2 dimes, and 5 unknown coins totaling $0.81. What kind of coins does Shannon have and how many are there of each denomination?
Answer:
The 5 unknown are 1 quarter, 3 dimes, and 1 penny.
Answer:
One penny
One nickel
Five dimes
One quarter total
Step-by-step explanation:
81 - 25(coins we know) = 56 cents left
So we know we need 1 penny
Then 4 coins make up 55 cents, so that's a quarter & 3 dimes
can anyone help me ?
Answer:
Table 3.
Step-by-step explanation:
A truck weighs 14,000 pounds how many tons do two truck weigh
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
7 ton....Because :
1 ton = 2000 pounds
7×2000 = 14,000 pounds
Hope it helps!
Brainliest pls!
Follow me! :)
Answer this for 10 points
Answer:
Equations would be;
30 + 50 + y = 180
and
y = 180 - 80
Additional:
If you are looking for y and u value then here they are:
y = 100°
u = 25°
Hope this helps!
WILL GIVE BRANLIST Probability Event:
You have a deck of 20 cards numbered 1-20. You draw a card from a deck and keep it. The next person draws another card. What is the probability you will both draw an even card?
Label the probability event above as either
A
Independent
B
Dependent
Answer:
9/38
Step-by-step explanation:
The odds of your drawing an even card from the deck are 10/20, or 1/2. The odds of your friend also taking an even card after (WITHOUT recplacing the card) is 9/19, which cannot be further simplified. You multiply the two -- 1/2 * 9/19 -- which results in your answer, 9/38. This is a dependent probability.
find the reciprocal of each number 2/3, 1/7, 4 ( show work)
Answer:
A reciprocal is the fraction flipped around. So basically 3/2, 7/1, and 1/4. Since 4 is a whole number the denominator is 1. Therefore, the reciprocal is 1/4.
A large soup pot holds 10 gallons of soup. Jared has quarts of chicken broth. How many quarts of chicken broth will he need to fill the soup pot
Answer:
40 quarts
Step-by-step explanation:
1 gallon=4
4•10=40
Select the correct answer.
A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells.
p(x) = -10x^2 + 498x - 1,500
what is the company's profit if it sells each sign for $20?
A. $18,020
B. $4,460
C. $14,420
D. $1,402
The profit made id each sign is sold for $20 is $4460
The profit model, P(x) = -10x² + 498x - 1,500
Where, x = price per sign sold
If the price per sign sold is $20. Hence, x = $20
The profit made can be calculated thus :
Put x = 20 in the profit function :
P(20) = -10(20)² + 498(20) - 1,500
P(20) = - 10(400) + 9960 - 1500
P(20) = - 4000 + 9960 - 1500
P(20) = $4,460
The profit made is $4,460
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Answer:
$4,460
Step-by-step explanation:
I got a 100% on my test
A woman drives her car 180 miles in 3 hours. At this rate how far will she travel in 5 hours?
Answer:
288
Step-by-step explanation:
you would do 180 devided by 3 then multiply that number by 5
Tammy harvested pounds of nuts from her pecan tree. If she divides the nuts into pound bags, how many bags will she have?
Answer: Tammy would have 9
Step-by-step explanation:
(6 3/4) / (3/4) =
= 27/4 / 3/4
= 27/4 * 4/3
= 27/3 * 4/4
= 9
What is the volume of the sphere below?
A. 500/3 pie units 3
B.100/3 units 3
C. 25/3pie units 3
D. 125/3 pie units 3
Answer:
A. 500/3π units³
Step-by-step explanation:
The volume of a sphere is given by 4/3πr³:
4/3π5³
4/3π125
500π/3
If a 6.2% Social Security tax is applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year is: a. $213.60 b. $6,408.00 c. $6,621.60 d. $17,225.81
Answer:
Correct Answer:
C: $6,621.60
(EDGE 2021)
Step-by-step explanation:
The maximum amount of Social Security tax that could ever be charged in a single year exists $6,621.60.
What is Social Security tax?Social Security exists financed through a reliable payroll tax.
Knowing that a 6.2% Social Security tax exists applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year stands at $6,621.60. Social Security offers all but unemployment insurance.
Therefore, the correct answer is option c. $6,621.60
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I need help asap for the math