The annuity provide each week is $547.59 (approx.)
Define Annuity
A fixed sum of money paid to someone each year, typically for the rest of their life.
Given,
Dajon already knows that he will have $500,000 when he retires.
P = $500,000
Next, he sets up a payout annuity for 15 years in an account paying 2.05% interest.
r = 2.05 % or 0.0205
t = 15 years
Since, annuity provide each week then
n = 52 weeks (in a year)
The Annuity formula is,
P = d [ ( 1 + r/n)^nt - 1 ] / (r/n)
where, d = regular deposit
Now, plug in the values and find the value of d
P = d [ ( 1 + 0.0205/52)^52*15 - 1 ] / (0.0205/52)
Calculate the value it gives,
P = $547.5936993 or 547.59
Hence, the annuity provide each week is $547.59 (approx.)
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Find the absolute maximum of (x^2-1)^3 in the interval [-1,2]
Let f(x) = (x ² - 1)³. Find the critical points of f in the interval [-1, 2]:
f '(x) = 3 (x ² - 1)² (2x) = 6x (x ² - 1)² = 0
6x = 0 or (x ² - 1)² = 0
x = 0 or x ² = 1
x = 0 or x = 1 or x = -1
Check the value of f at each of these critical points, as well as the endpoints of the given domain:
f (-1) = 0
f (0) = -1
f (1) = 0
f (2) = 27
So max{f(x) | -1 ≤ x ≤ 2} = 27.
Molly makes 5 gallons of soup in a pot. Then, she fills bowls that each hold 1/16 gallon of soup until the pot is empty. How many bowls does Molly fill?
Answer: 4
Step-by-step explanation:
The number of bowls Molly fills is A = 80 bowls
What is an 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.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the total amount of gallons of soup be = 5 gallons
The amount of gallons of soup in each bowl = ( 1/16 ) gallons
So , the number of bowls filled A = total amount of gallons of soup / amount of gallons of soup in each bowl
On simplifying the equation , we get
The number of bowls filled A = 5 / ( 1/16 )
The number of bowls filled A = 5 x 16
The number of bowls filled A = 80 bowls
Therefore , the value of A is 80 bowls
Hence , the equation is A = 80 bowls
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Help! I don’t know how to work with slopes
question is included in the picture
Answer:
Step-by-step explanation:
d is the right answer
Answer:
tis d hope this helped have a great day
Step-by-step explanation:
Answer 5750$
Given below are lease terms at the local dealership. What is the total cash
due at signing?
.
.
Terms:
Length of lease = 24 months
MSRP of the car = $36,600
Purchase value of the car after lease = $30,200
Down payment = $4800
Monthly payment = $525
$445 security deposit
$505 acquisition fee
A. $6275
B. $5750
C. $5770
D. $5830
Answer:
$6275
Step-by-step explanation:
The cash due at signing should include :
The down-payment ; The monthly payment for that particular month ; Acquisition fee and Security deposit.
Down payment = $4800
Monthly payment = $525
Security deposit = $445
Acquisition fee = $505
Total :
$(4800 + 525 + 445 + 505)
= $6275
Answer:
6750
Step-by-step breast inspection:
In AFGH, FG – HF and mZF = 56°. Find m_H.
Answer:
m<H = 62°
Step-by-step explanation:
If FG is congruent to HF, it means their opposite angles are also congruent to each other. This implies that, <H = <G. Thus, ∆FGH is an isosceles triangle with base angles <F and <G.
Given that m<F = 56°, therefore:
56° + 2(m<H) = 180° (sum of triangle)
2(m<H) = 180° - 56°
2(m<H) = 124°
m<H = 124/2
m<H = 62°
in her kayak bunny can travel 70 miles downstream with the current in 5 hours. the return trip against the current takes 7 hours. find the speed of the kayak in Stillwater and the speed of the current
9514 1404 393
Answer:
kayak: 12 mphcurrent: 2 mphStep-by-step explanation:
Bunny's rate downstream is ...
(70 mi)/(5 h) = 14 mi/h = k + c
Bunny's rate upstream is ...
(70 mi)/(7 h) = 10 mi/h = k -c
The kayak speed is the average of these:
(14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2
(24 mi/h)/2 = 2k/2
12 mi/h = k
Then the current speed is ...
c = k -10 = 12 -10 = 2 . . . . mi/h
The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.
_____
Additional comment
World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.
Kevin wants to hike the Pacific Crest Trail, which is 2,653 miles long. If Kevin wants to
finish the hike in 7 months, how many miles should he hike each month?
miles
Answer:
378
Step-by-step explanation:
2,653 divided by 7
A triangle with a base of 16 inch has an area of 104 inch quad what is the height of the triangle
the hight of the triangle is 13 inches
Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution. Explain. Show your work.
Answer:
Solution;
given equation : 3.67 = c - 2.13
On solving equation, we get
c = 3.67 +2.13
c = 5.8
Hence, Janae solution is incorrect. So I disagree.
Line m passes through the points (-4.3) and (4.7). What is the slope of the line that is parallel to line m?
Step-by-step explanation:
slope equals to change in y/change in x
slope=7-3/4+4
=4/8=1/2
Solve
You deposit $2000 in an account. The account earns $120 simple
interest in 2 years. What is the annual interest rate?
I=120
p=2000
I=prt
I=20000
=
t=2
Answer:
$160
Step-by-step explanation:
PLEASE HELP
What is the domain of a quadratic functions that opens up or down?
Pearl deposited $60 into her savings account. According to the rule of 72, what interest rate will cause her money to double in approximately 33 years?
Answer:2.2%
Step-by-step explanation:
Which expressions represent 1 less than the product of 3 and 4? Check all that are true. 2) 0 (3 X 4) - 1 O 3 X 4 - 1 3 x (4 - 1) -) 0 1 - (3 X 4) 0 1 - 3 X 4
Answer:
(3 x 4) - 1 and 3 x 4 - 1
Step-by-step explanation:
Hope this helps!
THE QUESTION IS IN THE PHOTO. HELP
Answer:
The constant is 3
Step-by-step explanation:
To the answer, you divide y/x.
15/5 = 3
9/3 = 3
6/2 = 3
1.5/ 0.5 = 3
Paula kitten weighs 3 1/2 pounds write this weight in the boxes using pounds and ounces.
Answer:
Step by step explanation
First, we have to convert 3 1/2 into a decimal, so we have to do the following:
1/2 = 1 divided by 2 3 1/2 = 3 + (1÷2) = 0.5 (1 ÷ 2 done by long division)
Then we add the whole number.
3 + 0.5 = 3.5
Next, we multiply
3.5 x 16 = 56 ounces.
Answer:
3 pounds and 8 ounces
Step-by-step explanation:
1 pound (lbs) = 16 ounces (oz)
Using both pounds and ounces, the problem is asking us to eliminate the decimal and substitute it for the number of ounces (a smaller unit than pounds)
So we know it is 3 pounds, but what is half a pound equal to in terms of ounces?
Remember 1 lb = 16 oz, so 1/2 of a lb = half of 16 oz
Half of 16 (or 16 ÷ 2) equals 8
Therefore, half a pound equals 8 ounces
Combining the two units together means the boxes weigh 3 pounds and 8 ounces
Anna is making 11 necklaces using 35 beads for each. How many beads (B) are needed to make all of the necklaces?
es
Step-by-step explanation:
11×35
11 necklaces and 35 beads per necklace
385
or 385 beads for all 11 necklaces
b=385
NEED HELP (+50 POINTS) +BRAINLEST +5 STARS +THANKS ON PROFILE
Sow work and round to the nearest tenth.
Using Pythagorean theorem
[tex]\\ \qquad\quad\sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \qquad\quad\sf\longmapsto H^2=2^2+3^2[/tex]
[tex]\\ \qquad\quad\sf\longmapsto H^2=4+9[/tex]
[tex]\\ \qquad\quad\sf\longmapsto H^2=13[/tex]
[tex]\\ \qquad\quad\sf\longmapsto H=\sqrt{13}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto H=3.2[/tex]
A new car costs $28,000. It is expected to depreciate at an average rate of 8% per year.
Find the value of the car in 8 years.
Answer:
35
Step-by-step explanation:
Enter a value of b that will make the expression factorable.
x2^ + bx – 40
Find the mean of the set of data.
3, 3, 8, 3, 8, 3, 8, 8, 1,3
The mean is ?? HELP WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
8
Step-by-step explanation:
48 because your adding them all up
Can someone help me pls
Answer: A=53.576 degrees
Step-by-step explanation:
Cos A= adjacent/hypt
Cos A= 19/32
Cos A= .59375
inverse of Cos A=.59375
A=53.576 degrees
Answer:
A = 53.58°
Step-by-step explanation:
cos A = 19/32
cos A = 0.5938
A = 53.58°
find the next term in the sequence. please type the number only as you answer. hint first figure out if the sequence is arithmetic or geometric
-3,9,-27,81,
Answer:
geometric
Step-by-step explanation: each number multiply by -3
mark me brainiest:)
Identify the equation that correctly shows the given relationship.
Can someone please help me is the last one☝ that k need
Help urgent!! I’ll give branliest
Answer:
8.81
Step-by-step explanation:
Answer:
18.01 tak myśle
What is the volume of the following figure? (Round your answer to the
nearest tenth and leave it in terms of pi.)
Width= 18 m length=10 m
A 180mm
B. 3240mm
C. 810 m
D. 8171 m
Karen invested $2,000 in a special savings account.
The balance of this special savings account will double
every 5 years. Assuming that Karen makes no other
deposits and no withdrawals, what will be the balance
of Karen's investment at the end of 40 years?
A. $ 80,000
B. $ 256,000
C. $ 400,000
D. $ 512,000
E. $1,024,000
Answer:
D. $512,000
Step-by-step explanation:
Well if the balance doubles every 5 years, then dividing 40 by 5 gives us the number of times the money will double, which is 8. We can then turn this into the equation [tex]2000(2^{8})[/tex]. [tex]2^8[/tex] can be simplified to 256. Multiply that by 2000 and we get our answer, 512000. Hope this helps!
Pls mark brainliest!A person invested $5,500 in an account growing at a rate allowing the money to double every 14 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $6,800?
Answer:
t=4.3
Step-by-step explanation:
y=a(2)^{\frac{t}{d}}
y=a(2)
d
t
y=6800\hspace{40px}a=5500\hspace{40px}d=14
y=6800a=5500d=14
d is the doubling time
\text{Plug in:}
Plug in:
6800=
6800=
\,\,5500(2)^{\frac{t}{14}}
5500(2)
14
t
\text{Solve for }t\text{:}
Solve for t:
\frac{6800}{5500}=
5500
6800
=
\,\,\frac{5500(2)^{\frac{t}{14}}}{5500}
5500
5500(2)
14
t
Divide by 5500
1.23636364=
1.23636364=
\,\,2^{\frac{t}{14}}
2
14
t
\log(1.23636364)=
log(1.23636364)=
\,\,\log\left(2^{\color{green}{\frac{t}{14}}}\right)
log(2
14
t
)
Take the log of both sides
\log(1.23636364)=
log(1.23636364)=
\,\,\color{green}{\frac{t}{14}}\log(2)
14
t
log(2)
Bring exponent to the front
\frac{\log(1.23636364)}{\log(2)}=
log(2)
log(1.23636364)
=
\,\,\frac{t}{14}
14
t
Divide by log(2)
0.30610313=
0.30610313=
\,\,\frac{t}{14}
14
t
Divide in calculator
14(0.30610313)=
14(0.30610313)=
Multiply by 14
4.285443788=
4.285443788=
\,\,t
t