Answer:
He would have to invest $80,412.
Step-by-step explanation:
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.
Assuming an interest rate of 3,43% compounded quarterly.
This means that [tex]r = 0.0343, n = 4[/tex]
How much would he have to invest to have $148,700 after 18 years?
This is P for which [tex]t = 18, A(t) = 148700[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]148700 = P(1 + \frac{0.0343}{4})^{72}[/tex]
[tex]P = \frac{148700}{(1 + \frac{0.0343}{4})^{72}}[/tex]
[tex]P = 80412[/tex]
He would have to invest $80,412.
please answer faster then I will mark you branliest
Answer:
4. The strength of class V is 300
5. Meenakshi bought a TV for Rc 46,000
Step-by-step explanation:
4. To round to the nearest hundred, check the number in the 'tens'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 7, so we rounded up to 300.
5. To round to the nearest thousand, check the number in the 'hundreds'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 3, so we rounded down to 46,000.
If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?
ОА.
-7 and 6
OB.
-6 and 7
Oc.
6 and 7
OD
-7 and -6
Answer:
7 and -6
Step-by-step explanation:
Given
Factors: (x - 7) and (x + 6)
Required
Determine the zeros
To do this, we simply equate the factors to 0
[tex]x - 7 = 0[/tex]
[tex]x = 7[/tex]
[tex]x + 6 = 0[/tex]
[tex]x = -6[/tex]
So, the zeros are -7 and 6
1 2 2/3×2 1/3 plz help plz
Answer:
76/9
Step-by-step explanation:
Alternative form: 8 4/9, 8.4
Find the circumference of the circle and round to the nearest tenth
Answer:
circumference of circle = 2×pi×r
circumference of circle = 2×3.14×12.7
circumference of circle = 79.756 in
Someone please help me I’ve been trying all day!
NO LINKS , answers only
I MEAN IT!!!!
Answer:
Step-by-step explanation:
You want to set up a system. We are given some points fo we can set up inputs and outputs. F(0) = 5, given by point (0,5). and F(3)=135, given by point (3,135). The exponential function general equation is F(x)= a(b)^x. plug in out functions into the general equation to get a(b)^0=5 and a(b)^3=135. Then you simplify and solve for a. In the equation a*b^0=5, anything to the power of 0 is 1. so a*1=5. Therefore a=5. we plug in the a to the second equation to find b. 5*b^3=135. b^3=27. b=3 from simplifying. Therefore, the equation should be 5(3)^x. THATS IT!
Jim, Dan, and David share some sweets in the ratio 6:2:1. Jim gets 25 more sweets than David. How many sweets are there altogether
Answer:
45 sweets.
Step-by-step explanation:
6:2:1
To solve how many Jim and Dan has I did 6 x n and 1 x n until the difference of the two numbers equaled 25.
6 x 5 = 30
1 x 5 = 5
30 - 5 = 25.
So, Jim as 30 candy and Dan has 1. How much does David have?
Just do the same thing but with 2 x n:
2 x 5 = 10.
Now add them together:
30 + 10 + 5 = 45.
Therefore, 45 sweets!
Fran baked 12 lemon tarts for her son, Bob. He gobbled up 4 tarts. What fraction of lemon tarts did bob eat?
Answer:
One third or 1/3
Step-by-step explanation:
You took out a loan for $15,000 for 3 years with an interest rate of 3.5%. Including interest, how much will you pay total?
Answer:
39%
Step-by-step explanation:
When a new highway is formed, the smoothness of the surface must be verified. A contractor is making a bid for this job and has a truck with the relevant detector. This detector must meet minimum standards for detecting irregularities in the road surface. If there is a roadway irregularity, there is a probability of 0.99 the detector will detect it. If there is no irregularity, there is a 0.06 probability detector will identify it as irregular (a false positive). It is known through experience that 3 miles out of 100 miles actually contain irregularities.
a. What is the probability the detector will identify a random mile of roadway as irregular? Give your answer to four decimal places.
b. Given a randomly selected miles has been identified as irregular by the detector, what is the probability it actually is irregular? Give your answer to four decimal places.
Answer:
a) 0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular.
b) 0.3379 = 33.79% probability it actually is irregular
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. What is the probability the detector will identify a random mile of roadway as irregular?
99% of 3%(it is irregular).
6% of 97%(false positive). So
[tex]p = 0.99*0.03 + 0.06*0.97 = 0.0879[/tex]
0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular.
b. Given a randomly selected miles has been identified as irregular by the detector, what is the probability it actually is irregular? Give your answer to four decimal places.
Conditional probability:
Event A: Identified as irregular
Event B: It is irregular.
0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular, which means that [tex]P(A) = 0.0879[/tex]
99% of 3% arre irregulars identified as, which means that [tex]P(A \cap B) = 0.03*0.99 = 0.0297[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0297}{0.0879} = 0.3379[/tex]
0.3379 = 33.79% probability it actually is irregular
give proof and show work and ill give brainliest
Answer:
84in
Step by Step Explanation:
SA = 2bh + b^2
SA = 2(6)(4) + 6^2
SA = 48 + 36
SA = 84
Help me !!!
Please I really need it
Answer:
i don't know
Step-by-step explanation:
find the value of x and is it congruent or not
Answer:
x would be 10.
It is congruent since two sides are given to be congruent. This can be proven with the SSS Congruence Postulate.
simplify -8f+2f+2f
please help me don't tell me links tell me the direct answer with explanation
Answer:
-4f
Step-by-step explanation:
-8f+2f=-6f then -6f+2f (since its a positive number) = -4f
Answer:
its easy its like adding
-4f
Step-by-step explanation:
add -8f and 2f
which equals -6f+2f
and then add those two
which then gives -4f
hope it helps!
What is the equation of a line that contains the point (6,-4) and has a slope of 3/4?
A. y-4 = 3/4 (x-6) B. y+ 4 = 3/4 (x-6) C. y- 6 = 3/4 (x-4) D. y-6 = 3/4 (x+4)
Answer:
B. y+ 4 = 3/4 (x-6)
Step-by-step explanation:
Given:
m = 3/4
Slope-intercept:
y - y1 = m(x - x1)
y + 4 = 3/4(x - 6)
Plz I need help with this
Answer:56
Step-by-step explanation:
Which of the following is a true proportion
3 cm
.
.
5 cm
If the base is halved and the height is quadrupled, then which of the following statements
about its area will be true?
Answer:
I think 7
Step-by-step explanation:
if the moon is purple then what toothpaste do u use on your but
Histogram help!(look at the picture)The histogram below shows the admission cost of some theme parks across the country.How many theme parks have an admission cost between $7 and $22?
12 theme parks
5 theme parks
18 theme parks
8 theme parks
Answer:
12
Step-by-step explanation:
5+7=12
5 have 7-14
7 have 15-22
The final answer is 12
7) Rob and Amy are selling cheesecakes for a school fundraiser. Customers can buy New York
style cheesecakes and chocolate marble cheesecakes. Rob sold 11 New York style cheesecakes
and 7 chocolate marble cheesecakes for a total of $266. Amy sold 4 New York style cheesecakes
and 14 chocolate marble cheesecakes for a total of $280. What is the cost each of one New York
style cheesecake and one chocolate marble cheesecake?
9514 1404 393
Answer:
New York style: $14Chocolate Marble: $16Step-by-step explanation:
We can let n and c represent the costs of the New York style and the chocolate marble cheesecakes, respectively. Then the two sales are ...
11n +7c = 266 . . . . . . . Rob's sale
4n +14c = 280 . . . . . . Amy's sale
The ratio of coefficients of c is a "nice" number (2), so we can eliminate the c variable easily to solve this. Dividing the second equation by 2 and subtracting it from the first gives ...
(11n +7c) -(1/2)(4n +14c) = (266) -(1/2)(280)
9n = 126 . . . . . . simplify
n = 14 . . . . . . . . divide by 9
Filling this into the first equation, we have ...
11(14) +7c = 266
7c = 112 . . . . . . . . subtract 154
c = 16 . . . . . . . divide by 7
One New York style cheesecake costs $14; one chocolate marble cheesecake costs $16.
Select the correct answer. What is the period of ? A. B. C. D.
Answer:=
2π/3
Step-by-step explanation:
plato
please help. my khan is due at 6
Answer:
10.5 meter sqaured
Step-by-step explanation:
Answer:
Answer is 10.5 meters squared
Step-by-step explanation:
Please help ASAP!!!!!
Answer:
First term of the given series = 4
The last term of the given series = 11
Step-by-step explanation:
Explanation
Given that the sum of the series
∑⁸ₙ₋₁ (n+3)
The [tex]n^{th}[/tex] term of the given sequence
aₙ = (n+3)
Put n=1
a₁ = 1+3 = 4
Put n=2
a₂ = 2+3 =5
Put n=3
a₃ = 3+3 = 6
Put n=4
a₄ = 4+3 =7
Put n=5
a₅ = 5+3 =8
Put n=6
a₆ = 6+3 =9
Put n=7
a₇ = 7+3 = 10
Put n=8
a₈ = 8+3 =11
The sequence of the given series
4,5,6,7,8,9,10,11
Final answer:-
First term of the given series = 4
The last term of the given series = 11
What are the vertices of angle A’B’C’ if angle ABC is dilated by a scale factor of 2?
Answer:
The answer is A
Step-by-step explanation:
a=(0,10)×2, b =(8,6)×2 c=(4,2)×2
Find the equation for the
following parabola.
Vertex (0, 0)
Focus (-3, 0)
A. 42 = 12y
B. y2 = -12%
C. -(3/2)/2 = x
D. X2 = 127
Answer:
::::::::::
B. y^2= -12x
a customer purchases windows for $15,000 using a credit card. If the interest is compounded monthly at a rate of 16% per year, how much interest will be charged at the end of three years?
Answer:
≈ $9164.35
Step-by-step explanation:
The future amount A is calculated as
A = P [tex](1+\frac{r}{n}) ^{nt}[/tex]
P is the Principle
r is interest rate
n is number of times per year compounding happens
t is the number of years
Here P = 15000 , r = 16% = 0.16, n = 12 , t = 3
A = 15000 [tex](1+\frac{0.16}{12}) ^{(12(3))}[/tex]
= 15000 ([tex](1.01333)^{36}[/tex]
≈ 24164.35
Interest paid = $24164.35 - $15000 = $9164.35
Answer:
The future amount A is calculated as
A = P (1+\frac{r}{n}) ^{nt}(1+nr)nt
P is the Principle
r is interest rate
n is number of times per year compounding happens
t is the number of years
I was unsure if my answer was incorrect please help
PLEASE HELP, I WILL MARK BRAINLIEST(no links)
Answer:
-70 degrees
Step-by-step explanation:
What you need to do is subtract 10 from -58 to find the difference;
-58-12 = -70 degrees
A simulation produces an experimental probability of 0.45. How many times
did the event occur if the number of trials was 380?
Answer:
Ihe answer is 845 times
Step-by-step explanation:
Find the missing angle. Find x
What are the restrictions on x? square root of 5x^2
Step-by-step explanation:
there are actually no restrictions. even with a negative x, squaring it makes for a positive result.