(2y+5)(x−6)
not rlly sure tho
You deposit $9000 in an account that pays 5% interest compounded quarterly.
A. Find the value of one year
B.Use the future value formula for simple interest to determine the effective annual yield
(Formula: A=P(1 +rt)
Step-by-step explanation:
Given:
Deposit P = $9000Interest rate r = 5% = 0.05Time t = 1 yearNumber of compounds n = 4A. Find the value of one year
[tex]A = P(1 + r/n)^{nt} = 9000(1+0.05/4)^4=9458.51[/tex]B. Use the future value formula for simple interest to determine the effective annual yield
[tex]A=P(1+rt)\\[/tex][tex]r=(A/P-1)/t[/tex][tex]r=(9458.51/9000-1)/1=0.0509[/tex] r = 5.1%Answer:
A) $9458.51
B) 5.09% (2 d.p.)
Step-by-step explanation:
Part ACompound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $9000r = 5% = 0.05n = 4 (quarterly)t = 1 yearSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=9000\left(1+\frac{0.05}{4}\right)^{4 \times 1}[/tex]
[tex]\implies \sf A=9000(1.0125)^4[/tex]
[tex]\implies \sf A=9458.508032...[/tex]
Therefore, the value of the account after 1 year is $9458.51.
Part BSimple Interest Formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = $9458.51P = $9000t = 1 yearSubstitute the given values into the formula and solve for r:
[tex]\implies \sf 9458.51=9000(1+r(1))[/tex]
[tex]\implies \sf 9458.51=9000(1+r)[/tex]
[tex]\implies \sf \dfrac{9458.51}{9000}=1+r[/tex]
[tex]\implies \sf r=\dfrac{9458.51}{9000}-1[/tex]
[tex]\implies \sf r=0.050945...[/tex]
[tex]\implies \sf r=5.0945... \%[/tex]
Therefore, the effective annual yield is 5.09% (2 d.p.).
if your monthly salary is $1,015.00 what percentage of your monthly salary is used on paying your rent.
Rent: $443.50
Answer:
43%
Step-by-step explanation:
443.50 divided by 1015 is 0.43 when rounded; 0.43 as a fraction is 43%. So therefore, the answer is 43%.
Juanita is tying ribbon on gift bags. She has 24 feet of ribbon and each gift bag uses 0.75 foot of ribbon. The function
r = 24 -0.75g represents the amount of ribbon r Juanita has left after tying ribbon on g gift bags. Find the zero of the function. Describe
what this value means in the context of this situation
The zero of the function is at ___. This represents that after tying ribbon on ____ gift bags, Juanita will have ____ feet of ribbon left.
The zero of the function is at 32 gift bags. This represents that after tying ribbon on 32 gift bags, Juanita will have zero feet of ribbon left.
According to the question;
The function r = 24 -0.75g represents the amount of ribbon r Juanita has left after tying ribbon on g gift bags.The zero of the function is at, r = 0.
Therefore;
0 = 24 -0.75gg = 24/0.75g = 32.This value means that after tying 32 gift bags, Juanita will have zero feet of ribbon left.
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If f(1) = 10 and f '(x) ≥ 3 for 1 ≤ x ≤ 6, how small can f(6) possibly be?
Answer:
[tex]f'( x ) = \frac{f(b) - f(a)}{b - a} \\ = \frac{f(6) -f(a)}{6 - 1} \\ 3\leqslant \frac{f(6) - 10}{5} \\ 15\leqslant f(6) - 10 \\ f(6) \geqslant 15 + 10 \\ f(6) \geqslant 25[/tex]
Answer:
25
Step-by-step explanation:
Our "best" case is when [tex]f'(x) = 3[/tex] everywhere - if it changes it means [tex]f(x)[/tex] will grow faster. But if [tex]f'(x)[/tex] is constant, it means [tex]f(x)[/tex] is the straight line [tex] y-10 = 3 (x-1) [tex], which passes through the point (6, 25)
Which values of a, b, and c represent the answer in simplest form?
7/9 * 4/9 = a b/c
Answer:
Option 2: A=1, B=3, C=4
Step-by-step explanation:
7/9÷4/9 = 7/9*9/4cancel 9 on each side=7/4= 1 3/4Lauren bought x boxes of cookies to bring to a party. Each box contains 12 cookies.
She decides to keep two boxes for herself. She brings 60 cookies to the party. Write
an equation that can be used to find the number of boxes, x, Lauren bought.
Answer:
12x-2=60
Step-by-step explanation:
since there are 12 cookies per box, u could multiply it by x boxes, and since she kept 2 you would need to subtract it from your total.
PLS HELP ILL GIVE BRANLIEST
What is the value of b in the equation (y^b)^4= 1/y^24?
Answer:
b= -6
y^(b×4) = y^(-24)
b= -6
describe the transformation of g(x)=(-1/2x) as it relates to the graph of f(x)=x
Answer:
c
Step-by-step explanation:
Solve the inequality graphically.
3-* > 6*
a. x < 1
b.X>1
C.X>0
d. x <0
Answer:
Simplify the expression.
−
729
Step-by-step explanation:
your wlecome
Determine if the sequence is arithmetic 7,9,11,13,15…
If so, find the common difference
b. What would be a30
Answer:
65
Step-by-step explanation:
a. since we add 2 to each term in this sequence, the difference between one term and the next is a constant. therefore, it's an arithmetic sequence
b. in this case, a = 7 and d =2
the equation would be a30 = 7 + (30-1)2
solving this gives us 65
100min to 2h as a ratio
Answer:
100:2
Step-by-step explanation:
If the sales tax rate is 8.9%, how much tax will be paid on a $457 tv?
State your answer in terms of dollars, rounded to the nearest cent (hundredth).
Do not include a $ sign with your response.
An aquarium has 5 gallons of water in it and is being filled up at a rate of g gallons every m minute. The amount of water w in the tank can be represented by the equation
w = 5 + g - m. Write an equation that can be used to find the number of minutes m the tank has been filled if we know w and g.
Write an equation that can be used to find the number of minutes g the tank has been filled if we know w and a.
Answer:
m=5+g-w
Step-by-step explanation:
This should be the answer based on the equation given.
Answer:
See belowStep-by-step explanation:
The equation for the amount of water is:
w = 5 + gmSolve for m:
gm = w - 5m = (w - 5)/gNow solve for g:
gm = w - 5g = (w - 5)/mx / 2.5 = 10
plz helppp
Answer:
x=25
Step-by-step explanation:
In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46
What is the probability?
If you win what is your net profit?
Find the value?
Answer:
How old are you
Step-by-step explanation:
Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year and during the year there are 600,000 births, 350,000 deaths, 100,000 immigrants, and 5,000 emigrants. You and your classmates will determine the total population at the end of the year and then model expected change over a longer period.
nothing yw listen to your teacher
A water tank is a cube of side 2m the depth of water in it is60cm. What is the volume of water in the tank?
Answer:
Step-by-step explanation:
The base is made of a square that is 2 meters by 2 meters.
Base = 4 m^2
The height of the water is 60 cm
60 cm// 100 cm/meter = 0.6 meters
Volume = Base * height
Base = 4m^2
height = 0.6 m
Volume = 4 * 0.6 = 2.4 m^3
Sandeep is making fruit dip for a party. His recipe calls for 1/2 of a teaspoon of cinnamon and 3/4 of a cup of yogurt. Using this ratio, how much cinnamon does Sandeep need if he uses 3 cups of yogurt?
Answer:
That sounds delicious
Step-by-step explanation:
0.5:0.75 = x:3
2 teaspoons of cinnamon needed
Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use to find x, the number of gallons of water he should add?
[tex]1.( \frac{0.8}{8 + x} )( \frac{5}{100} = 1 \\ 2. \frac{0.8}{8 + x} = \frac{5}{100} \\ 3. \frac{0.8}{8 + x} = \frac{100}{5} \\ 4. \frac{0.8}{8 + x} \div \frac{5}{100} = 1[/tex]
Answer:
2) 0.8/8+x=5/100
Step-by-step explanation:
Answer:
letter B is the correct answer!
Plsssss Help i have no idea how to do this
Answer:
500
Step-by-step explanation:
an equation for the line, in point stope form, that passes through the following points (- 4, - 4); (4, 5)
Answer:
（8,9）
Step-by-step explanation:
-4＋8＝4
-4＋9＝5
that what i think
What is the slope of the linear function graphed
below?
Answer:
y=2x+2
Step-by-step explanation:
The slope of the function is going up by 2 every time.
.21 is what percent of $3.50
Answer:
6%
To find 6 percent of a number, multiply the number by 0.06. In this instance, 3.5 x 0.06 = 0.21, or twenty-one hundredths.
Step-by-step explanation:
Answer:
0.21 / 3.50 × 100%
= 21/350 × 100%
= 3/50×100%
= 3×2%
=6%
Step-by-step explanation:
brainliest plz
HELLO I NEED A MATH EXPERT RIGHT NOW TO HELP ME WITH SOME MATH STUFF
IF YOUR NOT A MATH EXPERT THEN DONT ANSWER
Answer:
what's your question
Step-by-step explanation:
what's your question
ANSWER
7y-20=3y+12
= 7y-20+20= 3y + 12 + 20
= 7y = 3y + 32
= 7y -3y = 3y + 32 - 3y
= 4y = 3y + 32 -3y
= 4y =32
= y = 32/4
= y = 8
Thank you :).....
What is the relationship for angle 1 and angle 8
Answer:
Step-by-step explanation:
In this cofiguration, there are 8 angles. 4 equal one value and 4 are their supplements of the first 4.
6 and 80 and 2 and 3 are all equal to 80 degrees.
1 4 5 and 8 are the supplements. So whatever their value, they are all equal to the same thing. <1 = <8
They are supplementary to the 80 degree angle
<1 + 80 = 180 Subtract 80 from both sides
<1 = 180 - 80
<1 = 100
So angle 1 and <8 both equal 100 degrees.
Answer:
Alternate exterior angles.
Step-by-step explanation:
Alternate exterior angles are angles on opposing sides of the transversal and the outside of the parallel lines. Moreover, they are congruent. Therefore, ∠1 ≅ ∠8.
ACME insurance company estimates that the probability of the owners’ of a house worth between $120,000 to $170,000 making a claim for $5000 is 0.08, and that the probability of the house and contents being totally destroyed is 0.0041. Should that tragedy happen, the company will have to pay $150,000. The company charges $1300 for the insurance policy.
What is the expected value of this policy to the insurance company?
Round your answer to two decimal places.
The expected value of this policy to the insurance company is $285.00.
Using this formula
Policy expected value=Insurance policy charges-[(Probability × Claim)+(Probability × Claim)]
Let plug in the formula
Policy expected value=$1,300-{(.0041)($150,000)+(.08)($5,000)]
Policy expected value=$1,300-($615+$$400)
Policy expected value=$1,300-$1,015
Policy expected value=$285.00
Inconclusion the expected value of this policy to the insurance company is $285.00
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if buyer purchases 25% of a lot in the spring and then purchases 50% more in the fall what percentage of the lot is still available to purchase
Answer:
25%
Step-by-step explanation:
Total purchase = 25%+50%
Total purchase = 75%
Percentage left = 100% - 75%
Percentage left = 25%
Just pleasssssssssss help me.
3/14 2/7 1/2
Step-by-step explanation:
divide all of them seprately to get your decimal amount
Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?
Adjoa take-home pay earned for the past month is Ghc4,265.46
From the question,
We are to determine the amount of take-home pay Adjoa earn the past month
From the given information, we have that
Adjoa’s gross salary for last month was Ghc4,687.24
Also
Ghc421.78 was deducted from Adjoa’s salary pay
To determine how much take-home pay Adjoa earn the past month,
We will subtract the amount deducted from Adjoa’s salary pay from Adjoa’s gross salary for last month
That is,
Adjoa take-home pay = Ghc4,687.24 - Ghc421.78
Adjoa take-home pay = Ghc4,265.46
Hence, Adjoa take-home pay earned for the past month is Ghc4,265.46
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NO LINKS!!!
Find the coordinates of point on the directed segment from (1,6) to (-2,-3) that divides it into a ratio of 5:1.
a. (-1.5,-1.5)
b. (1.5, 1.5)
c. (-1,-1)
d. (-2.5, -3.5)
Answer:
A. (-1.5, -1.5)Step-by-step explanation:
Find the coordinates:
x = 1 + 5/6(- 2 - 1) = 1 - 5/2 = -1.5y = 6 + 5/6(-3 - 6) = 6 - 15/2 = -1.5Correct choice is A