Answer:
The correct solution is "$1618.79".
Step-by-step explanation:
The given values are:
Home price,
= $300,000
Down payment,
= 10%
Mortgage,
= $270,000
Rate,
r = 6%
Time,
t = 30 years
As we know,
⇒ [tex]PV=P[\frac{1-(1+r)^{-n}}{r} ][/tex]
On substituting the values, we get
⇒ [tex]270 000= P[\frac{1-(1+\frac{6}{1200} )^{-12\times 30}}{\frac{6}{1200} } ][/tex]
⇒ [tex]P=1618.79[/tex] ($)
Answer:
312,764.40
Step-by-step explanation:
We previously determined that you will make monthly payments of $1,618.79 for 30 years to pay off the loan. You are paying $1,618.79 per month for 360 months.
1,618.79×360−270,000=312,764.40
You are paying a total of $312,764.40 in interest over the life of the loan.
I'm in need of some desperate help
Answer:
77/134 or 0.5746
Step-by-step explanation:
The approximate relative frequency is "the number of times that the event occurs during experimental trials, divided by the total number of trials conducted."
So we need to identify the number of times the event occured, the amount of times children chose sweet snacks, and the total number of trials conducted. So since the question wants the approximate relative frequency by column, we use the number 134 for the total number, and 77 for the number of times the event occurred. We then divide 77 by 134, which looks like this: 77/134. In decimal form, this equals 0.5746. It can't be simplified anymore in fraction form, so 77/135 would be another way to answer.
2x - 4
5
= 4
What does x equal
Answer:
x=20, please confirm as problem layout is incorrect.
Step-by-step explanation:
I’m going to assume that this means 2/5x-4=4
You get 2/5x=8
X=20
is
Find the area of a regular pentagon
with a side length of 8 cm. Round to
the nearest tenth.
8 cm
[ ? ] cm2
Answer: 110.1
Step-by-step explanation:
The area of regular pentagon with side length of 8cm is 110.11 cm² .
Given,
Side length = 8cm
Now,
Area Regular pentagon = 1/4(√5(5 + 2√5)) * a²
a = side length of regular pentagon.
Substitute the value in the formula,
Area of regular pentagon = 1/4 (√5·(5+2·5)) * 8²
Area = 110.11cm²
Know more about pentagon,
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Please help me....
[tex] \frac{22}{7} \div \frac{22}{7} [/tex]
[tex] \sf \dashrightarrow \dfrac{22}{7} \div \dfrac{22}{7} [/tex]
[tex] \sf \dashrightarrow \dfrac{22}{7} \times \dfrac{7}{22} [/tex]
[tex] \sf \dashrightarrow \dfrac{\cancel{22}}{\cancel{7}} \times \dfrac{\cancel{7}}{\cancel{22}} [/tex]
[tex] \sf \dashrightarrow 1 \times 1 [/tex]
[tex] \sf \dashrightarrow 1 [/tex]
Hence, answer is 1.Jessie is going to the county fair. The cost of admission is $5.00 and it is $2.00 for each ride. If Jessie has $19.00, Write an equation to determine how many rides Jessie can ride.
Answer:
x=7, Jessie can ride 7 rides with $19
Step-by-step explanation:
The cost of admission is $5.00 and it is constant,
Then for each ride the cost is $2.00
If we let the number of rides be X, then the cost function, C(X) will be given as
C(X)=5+2X
If Jessie has $19, then we can equate the cost function to $19 and solve for x
5+2x=19
Subtracting 5 on both sides,
2x=19-5
2x=14
x=7
I hope my response is clear and helpful, thankyou
5 tables and 2 trash cans.
The ratio is 5:2. What are the next 2 equivalent ratios for this problem?
Find the equation of the line specified. The slope is 6, and it passes through ( -4,4)
a. y = 6x + 4
b. y = 6x - 20
c. y = 12x + 28
d. y = 6x + 28
Please select the best answer from the choices provided
Answer:
d. y = 6x + 28
Step-by-step explanation:
Since the slope and one point are given to us we can put this equation into slope-point form. This is [tex]y-y_{1}=m(x-x_{1})[/tex], so this equation would be y-4=6(x+4). Then solve for y to get the final equation. Once solved for y the slope-intercept equation is y = 6x + 28.
Answer:
d
Step-by-step explanation:
edge
Are the ratios 1:2 and 5:7 equivalent?
yes
no
Submit
Answer:
no
Step-by-step explanation:
Answer: No. It isn't equivalent.
Step-by-step explanation: Because 5/7 is not a multiple of 1/2. The multiples of 1/2 are: 2/4, 3/6, 4/8, 5/10 etc.
5 2/3 divided by 3/2
Please help
Answer:
I think is 3 7/9
Step-by-step explanation:
hope it helps
Answer:
fraction form: 34/9
decimal form: 3.7 (repeating)
mixed number form: 3 7/9
hope it was helpful! ^^
The perimeter of a rectangle is 370 m. The length of the rectangle is 65 m. How wide
is the rectangle?
Answer:
120
Step-by-step explanation:
370m - (65 x 2) = 240
240 divided by 2 = 120
What is the simplified form of this expression?
(5x2 + 2x + 11) − (7 + 4x − 2x2)
Answer:
7x² - 2x + 4
Step-by-step explanation:
(5x² + 2x + 11) - (7 + 4x - 2x²) = 5x² + 2x + 11 - 7 - 4x + 2x² =
(5x² + 2x²) + (2x - 4x) + (11 - 7) = 7x² - 2x + 4
Anne owns an art supply store. Anne is analyzing the store's expenses and income because she wants to increase the store's profits. The expenses include renting 1,250 square feet of space for $13,750 per month. The store has only one employee, who is paid $8.00 per hour plus 8% commission. Much of the
store's income comes from the sales of blank painting canvases and frames. The table shows the prices of the canvases and frames sold at the store.
HELP
8 Prove that 8^6+4^11 is divisible by 17. Answer __*17
Answer:
262,144 goes in the blank
Step-by-step explanation:
8^6 = 262,144
4^11 = 4,194,304
4,194,304 + 262,144 = 4,456,448
4,456,448 ÷ 17 = 262,144
You can use the fact that 8 is cube of 3 and 4 is square of 2.
The value in the blank space given is [tex]2^{18}[/tex]
Given that:To prove that [tex]8^6+4^{11}[/tex] is divisible by 17Converting [tex]8^6+4^{11}[/tex] in terms of 2:[tex]8^6 = (2^3)^6 = 2^{3 \times 6} = 2^{18}[/tex]
[tex]4^{11} = (2^2)^{11} = 2^{2 \times 11} = 2^{22} [/tex]
Thus,
[tex]8^6 + 4^{11} = 2^{18} + 2^{22} = 2^{18}(1 + 2^{4}}) = 2^{18} \times 17[/tex]
Thus, it is multiple of 17 and thus, divisible by 17.
The value in the blank space given is [tex]2^{18}[/tex]
Learn more about exponents here:
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In a classic Conan Doyle story, Sherlock Holmes solves a crime mystery by recognizing that a guard dog didn't bark. Therefore, the dog must have known the perpetrator. Holmes' reasoning goes like this: if the guard dog doesn't know a person, then it barks. The dog didn't bark. Therefore, it knew the person.
Which rule of inference is being used here?
a. Addition.
b. Simplification.
c. Conjunction.
d. Modus Ponens.
e. Hypothetical Syllogism.
f. Disjunctive Syllogism.
g. Modus Tollens.
h. Resolution.
Answer:
G. Modus tollens
Step-by-step explanation:
This question used the inference called modus tollens.
Modus tollens is a a valid form of argument that is of this form below:
If S, then T
if not S, then not T.
S = dog doesn't know perpetrator
Not S = dog knows who the perpetrator is
T = the dog barked
Not T = the dog did not bark.
So if we put this into the statement in bold letters, we would have:
The dog doesn't know perpetrator, so it barked.
And,
The dog didn't bark, so it knows the perpetrator.
I need help on this question
Answer:
64
Step-by-step explanation:
30
—— + 72 simplify which is then 15/1 which is then 15+7^2 =64
2
What shape is this cross-section?
Answer:
circle D
Step-by-step explanation:
g varies inversely as the cube of h.
Answer:
g = [tex]\frac{k}{h^3}[/tex]
Step-by-step explanation:
Given that g varies inversely as h³ then the equation relating them is
g = [tex]\frac{k}{h^3}[/tex] ← k is the constant of variation
- A married couple decided to file their taxes jointly. Their joint (total) income for the
year is $155,920. Since the couple does not have any kids yet, they are required to
pay a 30% annual income tax rate.
How much does the couple have to pay in income taxes for the year?
Answer:
They will pay $46,776 in income taxes. The money they will have after income taxes is $109,144.
Step-by-step explanation:
Because this problem involves a deduction of a percentage, you first need to multiply 155,920 by 30% in its decimal form - .30.
Then, with that answer - 46,776 - you subtract it from their total income - 155,920 - and get 109,144.
Now you have what they lose and what they have after the deduction.
So, they will pay $46,776 in income taxes and keep $109,144.
Hope this helps :)
Which table represents the relationship between the x-values and the y-values in the equation y = -5x + 1?
Answer:
x=0 the value of y is 1/1 so this line cuts the y axis at y=1.00000. y=0 the value of x is 1/5 our line therefore cuts the axis at x=0.20000
Solve 3,200 divided by 10 using a area model
HELP PLEASE Alonzo bought 3 CDs that were each the same price. Including sales tax, he paid a total of $36.90. Of that total, $36.60 was tax. What was the price of each CD before tax?
Answer:
each cd was 1 cent
Step-by-step explanation:
The students in Mr. Sanchez's class are converting distances measured in miles to kilometers. To estimate the number of kilometers, Abby takes the number of miles, doubles it, then subtracts 20% of the result. Renato first divides the number of miles by 5 and then multiplies the result by 8.
Write an algebraic expression for Abby's method.
Write an algebraic expression for Renato's method.
Step-by-step explanation:
hay! these is my answer,,,,,, I hope these will help
Abby’s Expression:
Double m, giving 2m. She then takes 20% of the result, which we can write 0.2(2m). Finally she subtracts this from 2m, giving 2m−(0.2)2m
2m − (0.2)2m
Renato’s Expression:
Divide m by 5, giving m ÷ 5 = m/5, and then multiplies the result by 8, giving:
8(m/5)
mrs malone's current salary is $15,000 she expects it to increase $1,000 per year . write the first 6 terms of a sequence that represents her salary the first term should be her current salary what does the sixth term represents
pls answer its important
Answer:
15 000, 16 000, 17 000, 18 000, 19 000
6th term would be 20 000 = 1/3 increase from the first year term.
Step-by-step explanation:
14n + 1
15,16,17,18,19
the length of a wooden frame is 1 foot longer than it width and its area is equal to 12ft2
Answer:
no lo seee jajajajjaja x
ytgddd no so
Step-by-step explanation:
at a given high school the probability that a student is taking a geometry class is 0.24 the probability that a student is taking a chemistry class and a geometry class is 0.18 if a student is taking a geometry class what is the probability that the student is also taking a chemistry class
Answer:
0.24
Step-by-step explanation:
Answer: 0.24
Step-by-step explanation:
Can someone help me with this question please
Answer:
yes
Step-by-step explanation:
4 7/9 can be rewritten as 4 14/18
2 1/3 can be rewritten as 2 6/18
now the sum can be calculated:
4 14/18 + 2 6/18 = 6 20/18 = 7 2/18
This is within the tolerance of 7 1/18 to 7 3/18, so it will fit.
What is 3.4 dropped to 28%
Answer:
28/100×3.4
0.28×3.4
0.952
Write an equation of a line that passes through the point (2,0) and is perpendicular to the line y=−12x+3.
Answer:
Equation of a line that passes through the point (2,0) and is perpendicular to the line y=−12x+3 is
[tex]y = 2x-4[/tex]
Step-by-step explanation:
Slope of the line y=−12x+3 is m1=-12
We know slopes of perpendicular lines are negative reciprocals of each other. Therefore m2=2
Equation of line in point slope form is
[tex]y-y_1 = m_2 (x-x_1)[/tex] ----------- (1)
Here
[tex]m_2 = 2 \ \ \ and \ \ \ (x_1, y_1) = (2, 0)[/tex]
Substituting values in equation (1)
[tex]y-0 = 2 (x-2)[/tex]
[tex]y = 2x-4[/tex]
You randomly select one card from a 52-card deck. Find the probability of selecting a red ten or a black king
solve sin2theta=2sinthetacostheta
Answer:
[tex]\sin(2\theta) =2 \sin \theta \cos \theta[/tex] proved
Step-by-step explanation:
Given
[tex]\sin2 \theta=2 \sin\theta cos\theta[/tex]
Required
Prove
Proving from left to right.
[tex]\sin(2\theta) = \sin(\theta+\theta)[/tex]
In trigonometry
[tex]\sin(A+B) = \sin A \cos B+\sin B \cos A[/tex]
When this formula is applied to:[tex]\sin(2\theta) = \sin(\theta+\theta)[/tex]
We have:
[tex]\sin(2\theta) = \sin \theta \cos \theta+\sin \theta \cos \theta[/tex]
[tex]\sin(2\theta) =2 \sin \theta \cos \theta[/tex]
Proved
