Answers
9514 1404 393
Answer:
12. $1,035,057.23
13. $988,881.23
14. $7,762.93
15. $8,686.16
16. $967,647.66
Step-by-step explanation:
The annuity and amortization formulas are used for problems like this.
sum of monthly payments = P((1 +r/12)^(12t) -1)/(r/12)
monthly amount available = P(r/12)/(1 -(1 +r/12)^(-12t))
__
12. The sum of monthly payments of 74, accumulated at 9% compounded monthly for 52 years is ...
A = ($74)((1 +.09/12)^(12·52) -1)/(.09/12) = $1,035,057.23
__
13. The total of payments is ...
$74×12×52 = $46,176
So, the interest earned is ...
$1,035,057.23 -46,176 = $988,881.23
__
14. The amount available in perpetuity is the monthly interest on this account balance.
$1,035,057.23 × .09/12 = $7,762.93
__
15. The monthly amount available for 25 years is found from the amortization formula:
A = $1,035,057.23(.09/12)/(1 -(1 +.09/12)^(-12·25)) = $8686.16
__
16. The amortization formula is used for this, too.
8066 = P(.094/12)/(1 -(1 +.094/12)^(-12·30)) = 0.00833568P
P = $8066/0.00833568 = $967,647.66
Related Questions
CALCULATOR ACTIVE DIRECTIONS FOR THE CALCULATOR ACTIVE SECTION OF THE TEST: • Calculators may be used during this test. • Read each problem carefully. • Choose the best answer from the choices given. • Fractions in some answer choices may have been simplified. Check each answer choice to see if this has been done. Diagrams used in the test may not be drawn to scale. • At this time, you can check your answers for THIS SECTION ONLY.
Answers
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
I need help with 2&3
Answers
Answer:
2. A 4√3
3. B -5/3
Step-by-step explanation:
Please help quickly
Answers
Answer:
Figure J does not show y as a function of x ⇒ D
Step-by-step explanation:
y is a function of x if and only if every x has only one value of y
Let us check each given figure if it shows a function or not
#Figure F
∵ Every value of x has an arrow is pointed to one value of y
∴ Every x has only one value of y
∴ The figure shows y as a function of x
#Figure G
∵ The ordered pairs have different values of x-coordinates
∴ Every x-coordinate has only one value of y-coordinate
∴ The figure shows y as a function of x
#Figure H
∵ Every x in the table appears once
∴ Every x has only one value of y
∴ The figure shows y as a function of x
#Figure J
∵ The ordered pairs were drawn in the figure are (-3, -2), (-3, -3), (-2, 0),
(-2, -1), (-1, 1), (-1, 2), (0, 3), (0, 4)
∵ x = -3 has two values of y, y = -2 and -3
∵ x = -2 has two values of y, y = 0 and -1
∵ x = -1 has two values of y, y = 1 and 2
∵ x = 0 has two values of y, y = 3 and 4
∴ Every x-coordinate has more than one value of y-coordinate
∴ Figure J does not show y as a function of x
50 POINTS PLEASE HELP! In order to rewrite log9 (6/5) as log9 (6) - log9 (5) , which of the following is used?
SEE PHOTO FOR ANSWER OPTIONS PLEASE HELP !! WILL MARK BRAINLIEST
Answers
Answer:
1
Step-by-step explanation:
Your turn
The perimeter of a triangular building is 450 feet. Find
the length of each side,
ILL MARK BRAINLIEST ANSWER HURYYYY PLEASEEE‼️‼️‼️‼️‼️
Answers
Answer:
450/3
Step-by-step explanation:
Find the difference between 45,985 and 1,715.
Answers
Answer:
44,270
Step-by-step explanation:
Please help emergency
Answers
Answer:
1/20÷950
Step-by-step explanation:
hope this helps!
Answer:
the first one
Step-by-step explanation:
How is x to the power of 4 times x to the power of 3 different from x to the power of 4 divided by x to the power of 3?
HELP QUICK PLEASEEE
Answers
Answer:
Step-by-step explanation:
x^4(x^3) is x^7 (when multiplying two same variables with exponents you just add the exponents)
(x^4)/(x^3) is x^1 or just x (when dividing two same variables with exponents you just subtract the exponents)
90% of 133 is equal to (0.9) ⋅ 133 true or false
Answers
Answer:
True.
Explanation:
It’s true because a percent is based on decimals. For example, 0.01 is 1%, while 0.1 is 10%. So that means that 0.9 is 90%. Remember, “of” means multiplying. So, 0.9 times 133 is equal to 90% of 133.
Answer:
Step-by-step explanation:
A lumber yard offers boards based on wood species, size, and grade. If a customer can choose among 3 species, 3 sizes, and 2 grades, how many different boards could the customer choose?
Answers
There are 18 different boards from which the customer can choose.
How many different boards could the customer choose?The total number of different boards is given by the product between the number of options for each of the possible selections.
The selections (and their options) are:
Species (3 options)Sizes (3 options)Grades (2 options).Then the total number of different boards is given by:
N = 3*3*2 = 18
There are 18 different boards from which the customer can choose.
If you want to learn more about combinations:
https://brainly.com/question/11732255
#SPJ1
A used-car costs $5,000. You figure you can get 4 years out of it. You drive 10,000 miles per year. Your car insurance costs $1,200 per year. You figure you'll spend $400 per year on maintenance. Gas costs $3 per gallon, and the car gets 25 miles per gallon. What will your average cost (all costs included) per mile be over the 4 years?
Answers
Answer:
26,800
Step-by-step explanation:
Im not sure but thats what I got
Answer:
$0.405
I just took the test.
When comparing a single sample to a population mean, a one sample t test must be used instead of a one sample z test when what value is unknown?
a. The sample mean
b. The population standard deviation
c. The desired alpha level
d. The sample standard deviation
e. The sample variance
Answers
Answer: b. The population standard deviation
Step-by-step explanation:
The one-sample z-test is a test that us carried out to ascertain whether the mean of a population is either greater or less than a specific value given.
The one sample t test is used in comparing the mean of the sample data of the researcher carrying out the research to a known value.
When the population standard deviation is known, the one sample z test is used while when the population standard deviation is not known, one can use the one sample t test.
2) Fill in an angle measure greater than 100 degrees for the missing angle in yellow below. You will fill
this in at the top of the chart and base all other angles you calculate on this measure. Find all the
missing angle measure.
Answers
Answer:
m∠a = 110°
m∠b = 110°
m∠c = 70°
m∠d = 70°
m∠i = 110°
m∠h = 110°
m∠j = 70°
m∠g = 110°
m∠f = 70°
m∠e = 70°
m∠k = 57°
m∠m = 70°
m∠l = 167°
Step-by-step explanation:
Let the measure of the yellow angle = 110°
Therefore;
m∠a = 110° by vertically opposite angles
m∠b = m∠a = 110° by opposite interior angles of a parallelogram
m∠c = 180° - 110° = 70° by same side interior angles
m∠d = m∠c = 70° by opposite interior angles of a parallelogram
m∠i and m∠c are supplementary angles, therefore, m∠i = 110°
m∠h = m∠i = 110° by vertically opposite angles
m∠j = m∠c = 70° by vertically opposite angles
m∠g and m∠d are supplementary angles, therefore, m∠g = 110°
m∠f = m∠d = 70° by alternate interior angles
m∠f = m∠e = 70° by vertically opposite angles
m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°
m∠b and m∠m are supplementary angles, therefore, m∠m = 70°
m∠l and 13° are supplementary angles, therefore, m∠l = 167°
if m
PLEASE EXPLAIN NOT SURE
Answers
IF M WHAT???...???????
A concert ticket costs $23. About how much will tickets costs for a group of 22 people?
Answers
Answer:
$506
Step-by-step explanation:
We know that 1 concert ticket is $23
Multiply 23 by 22 to get 506
They spend $506 in total for the tickets.
The total cost for a group of 22 people is $506 if a concert ticket costs $23. , the answer is $506.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A concert ticket costs $23.
Let x be the total cost for the group of 22 people:
The value of x can be found as follows:
The linear equation in one variable:
x = 23×22
x = $506
Thus, the total cost for a group of 22 people is $506 if a concert ticket costs $23. , the answer is $506.
Learn more about the linear equation here:
brainly.com/question/11897796
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Help me find what x is worth please
Answers
Answer:
i think is 167
Step-by-step explanation:
3. Beats wireless headphones are on sale for 97.50. If the price represents a 35% discount
from the original price, what is the original price?
a.
Answers
Answer:
Original price= $150
Step-by-step explanation:
Giving the following information:
Sales pirce= $97.5
Sales discount= 35% decrease
To calculate the original price, we need to use the following formula:
Original price= sales price / (1 - discount)
Original price= 97.5 / 0.65
Original price= $150
-8 = 2y – 2
.........
Answers
Answer:
y = -3
Step-by-step explanation:
-8=2y-2
+2 +2
-6=2y
-6/2 2y/2
-3= y
What is the value of y?Exaplain what the coordinates repersent
Answers
Answer:
(1, 35) means that $35 is the cost per hour of hiring a face painter.
Step-by-step explanation:
Notice that this is a linear function that goes through the origin and also through the point (5, 175) which according to the data plotted in both axis, means that for 5 hours of service, the cost is $175.
One can calculate the slope of this line as that of the segment that joins (0, 0) with (5, 175) as:
slope = (175 - 0) / (5 - 0) = 175 / 5 = 35 / 1
Notice as well that such slope reads the amount of dollars to hire a face painter for ONE hour (so it is the rate per hour for hiring a face painter).
So the point (1 , y) should be completed as: (1, 35) and means "the rate per hour for hiring a face painter."
Matt and Molly and selling cheesecakes for a school fundraiser.
Customers can buy French silk cheesecakes and chocolate marble
cheesecakes. Matt sold 7 French silk cheesecakes and 14
chocolate marble cheesecakes for a total of $259. Molly sold 3
French silk cheesecakes and 5 chocolate marble cheesecakes for a
total of $97. What is the cost of one French silk cheesecake (x) and
one chocolate marble cheesecake (y)?
Answers
Chocolate marble cheesecake are $14
Work:
Solve. 2x - 1 = 7
A) x=2
B) x=3
C) x=4
D) x=5
Answers
Answer:
C
Step-by-step explanation:
2x - 1 = 7
2*4=8
8-1=7
Answer:
C
Step-by-step explanation:
2x-1= 7
add 1 one on both sides
2x = 8
divide both sides by 2
x=4
which expression is equivalent to 45-20s
Answers
I need to see the other expressions
56/25 gal $41.05/20 gal
Answers
Answer:
56/25
Step-by-step explanation:
sksksjskskksdidid
paid electricity bill for 100. wht is credit wht is debit.
Answers
Answer:
what you owe
Step-by-step explanation:
There are a total of 950 boxes of shoes at a store. • Half of the boxes contain athletic shoes. • Another 125 boxes contain dress shoes. • Of the remaining boxes of shoes, 4 out of 5 boxes contain sandals. Based on the expression below, how many boxes at the store contain sandals? 4(950 ÷ 2 − 125) ÷ 5
Answers
Answer: 355
Step-by-step explanation:
Hope this helps !
Peyton received a graduation gift from his grandparents of $12,700. He
does not need the money for the first year of college. So he decided to
invest the money in a high interest savings account. If he puts all the
money in a high interest savings account paying 8.8% interest
compounded semiannually, how much money will be in the account at the
end of one year to use for college? *
Answers
Answer:
Peyton's account will have $13,842.18 after a year.
Step-by-step explanation:
Given that Peyton received $ 12,700 and decided to invest it for a year in an account that grants an interest of 8.8% per year, compounded semiannually, to determine the amount of money that will be in said account after the passage of one year, it is necessary to perform the following calculation:
X = 12,700 (1 + 0.088 / 2) ^ 1x2
X = 13,842.18
Therefore, after a year has passed, Peyton's account will be $ 13,842.18.
Pauline invested $10,000 at two different
rates, 4% and 6%. If her total interest income
was $470, how much did she invest at each
rate?
Answers
Answer:
So for this, I will be doing a system of equations. Let x = money invested at 4% and y = money invested at 6%. We know that x and y will total up to 10k since that's how much he initially invested, so that'll be one of our equations.
Our other equation will represent the total balance he has after investing. We know that x's interest is 4% (since the money is increasing, this would translate to 1.04 in decimal form) and y's interest is 6% (aka 1.06 in decimal form since its increasing) and that the total balance is 10470 (initial balance + interest income).
Step-by-step explanation:
Using all this info, these are our two equations:
X+Y=10000
1.04x+1.06=10470
Next, substitute x in the second equation for (10000 - y) and solve for y as such:
1.04(10000-y) +1.06y =10470
10400 - 1.04y + 1.60y = 10470
10400 + 0.02y = 10470
0.02y =70
y = 3500
Now that we have the value of y, substitute it into either equation to solve for x:
x + 3500 = 10000
x= 6500
1.04x + 1.06(3500)= 10470
1.04x = 6500
Answer
In short:
$6,500 was invested in the 4% rate
$3,500 was invested in the 6% rate
If both pairs of opposite sides of the quadrilateral are congruent, then the quadrilateral is a?
A) hexagon
B) parallelogram
C) kite
D) trapezoid
Answers
Answer:
B (parallelogram)
Step-by-step explanation:
Hiiiiiiiiii
What is the slope of the line?
3(y - 1) = 2r + 2
Answers
Answer:
43
Step-by-step explanation:
because
Sam wants to build a fence around her property. The length of
the her fence must be one feet greater than three times its
width and the area of her property is 30 square feet. What is
the maximum width that her fence can be to ensure she
doesn't encroach into her neighbor's property?
Answers
Answer:
3.33ft
Step-by-step explanation:
Area of the fence = Length * Width
A = LW
Given
Area A = 30ft²
If the length of the her fence must be one feet greater than three times its width, then;
L = 3W + 1
Substotute into the area formula
A = (3W+1)W
30 = 3W²+W
3W²+W - 30 = 0
(3W²+9W)-(10W - 30) =
3W(W+3)-10(W+3) = 0
3W-10 = 0 and W+3 = 0
3W = 10 and W = -3
W = 10/3 and -3
Width cannot be negative
Hence the maximum width that her fence can be to ensure she doesn't encroach into her neighbor's property is 3.33ft