Answer:
A)You will earn $20311.62 as interest if you deposit $23750 into an investment account for 8 years.
B) The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%
Step-by-step explanation:
We are given that Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest.
Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.
a)How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years?
Principal = 23750
Rate of interest = 7.75%
No. of compounds per year = 12
Time = 8 years
Formula : [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where A is the amount
P is the principal
r = rate of interest
n = No. of compounds
t = time
Substitute the value sin the formula :
[tex]A=23750(1+\frac{7.75}{1200})^{12 \times 8}[/tex]
A=44061.6163406
Interest = Amount - Principal
Interest = 44061.6163406-23750
Interest =20311.62
You will earn $20311.62 as interest if you deposit $23750 into an investment account for 8 years.
B)What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account
Principal = 23750
Simple interest =[tex]\frac{P \times T \times R}{100}[/tex]
[tex]20311.62=\frac{23750 \times 8 \times R}{100}\\\frac{20311.62 \times 100}{23750 \times 8}=R\\10.69\%=R[/tex]
Hence The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%
calculate the surface area of the following shape
1. 450cm2
2. 294cm2
3. 358cm2
4. 716cm2
Answer:
210cm2
Step-by-step explanation:
Area of rectangle: HxW
Area of Triangle: 1/2 x bx h
There are 3 rectangles with the length of 14x3
14x3x3
= 14x9
= 126cm2
There are two triangles with the height of 12 and base of 14.
1/2x 14x 12
= 1/2x 168
= 168/2
= 84cm2
Now finally add them together:
84+126
= 210cm2
Write the quadratic expression -16t2 − 8t + 24 in factored form.
Hope this helps! : )
Give an example of an absolute value inequality whose answers falls between two values. Give an example of an absolute value inequality whose answers fall outside of two values. What creates the difference? Be specific. *
Answer:
A) Suppose we have an onedimensional situation.
in the 0 of our x-axis, we have a fruit tree, and we want to rest at a distance no bigger than 6 ft of the tree, then all the possible positions of our resting place are:
x ∈(-6ft, 6ft)
we can write this as: IxI < 6ft
b) now we think the opposite situation, we want to rest at least 6ft away from the tree, then we have that:
x ∉ [-6ft, 6ft].
or IxI > 6ft.
So you can see that the difference in those two cases is if we want to be "inside a given range" (for the first case) or "outside a given range" (for the second case).
simplify 2[3-5(2+1)2+5]
the last 2 is 2nd
Answer:
uydfg
Step-by-step explanation:
hkbchjsbchvuhc
Answer:
-44 im pretty sure
What is the difference between (8y-7) and (1-3y)
Hint: Difference is another way to say subtraction.
A shirt that originally cost $38.00 is on sale for 30% off. What is the sale price of the shirt?
1.
$11.40
2.
$26.60
3.
$29.23
$49.40 this is due today pls help.
_________________________________
Solution,
Marked price (MP)=$ 38.00
Discount%=30%
Sale price (SP)=?
Now,
Discount amount= discount% of MP
=30%of 38
=$ 11.4
Again,
Sale price(SP)=MP-Discount
= 38-11.4
=$26.60
The right answer is $ 26.60
Hope it helps...
Good luck on your assignment
_______________________________
Answer:
$26.60Step-by-step explanation:
[tex]orginal \: \: \: \: price = 38.00[/tex]
[tex]discount \\ percentage= 30\%[/tex]
First we have to find the discount.
[tex]discount = 38 .00\times \frac{30}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 11.40[/tex]
Now let's find the sales price of the shirt.
[tex]sales \: \: \: price \\ =original \: \: \: \: price - \: discount \\ = 38.00 - 11.40 \\ = 26.6 0\\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The function ƒ(x) = 4x + 1 is transformed to g(x) = 2x + 1. What type of transformation has occurred? A) Reflection and Vertical Translation B) Rotation C) Reflection D) Rotation and Vertical Translation
Answer:
B) Rotation
Step-by-step explanation:
The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.
Answer:
rotation
Step-by-step explanation:
What is the area of the triangle?
3
2
6
Answer:
A = 6 units^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
A = 1/2 (6)(2)
A = 6 units^2
Answer:
6 units^2
Step-by-step explanation:
The area of a triangle can be found using the following formula.
a=(bh)/2
where b is the base and h is the height. In this triangle, we know that 6 units is the base. We also know that 2 units is the height, because the height should form a right angle(little square) with the base.
b=6
h=2
Substitute these values into the formula.
a=(6*2)/2
Multiply 6 and 2 first.
a=12/2
Divide 12 by 2
a=6
Add appropriate units. Area always has the unit squared.
a= 6 units^2
The area of the triangle is 6 square units.
What is the area of the figure?
2ft
1 1/3 ft
1/3 ft
5 ft
Answer:
12
Step-by-step explanation:
What is the volume, in terms of π, for a cylindrical
container with a radius of 3.25 centimeters and a
height of 10 centimeters? (use the formula V
= I1r2 h)
Answer:
[tex]105.625\pi cm^3[/tex]
Step-by-step explanation:
[tex]V=\pi r^2h=\pi *3.25^2*10=331.83072\\=331.83[/tex]
Answer in terms of [tex]\pi[/tex]
[tex]105.625\pi cm^3[/tex]
Simplify the radical expression.
- V8n•2 12
The value of the radical expression is A = -3n√12
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
A = -√8n² ( 12 )
On simplifying , we get
A = -√108n²
Taking the value of n outside , we get
A = -n√108
On further simplification , we get
A = -n3√12
A = -3n√12
Hence , the value of the expression after simplification is A = -3n√12
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Can someone help me ASAP
Answer:
36 ft.
Step-by-step explanation:
Use the Pythagoras Theorem.
h^2 = 10^2 + 24^2
h^2 = 676
h = √676
h = 26 ft.
Original height = 10+26 = 36 ft.
Answer:
D. 36 ftStep-by-step explanation:
the TRee form with the ground a right triangle
let’s calculate the length of the upper part of the tree which is the hypotenuse of the triangle:
now ,using the Pythagorean theorem we get :
upper part = √(10²+24²)
= 26
then
the original height of the tree
= 10 + 26
= 36 ft
Can someone please help me on these two questions?
Answer:
Arc = angle/360° x 2πr
13) = 72/360 x 2π x 25
= 1/5 x 2π x 25 = 10π
14) 270/360 x 2π x 2
= 3/4 x 4π = 3π
What is the value of 4x- 7 when x=4?
Answer:
9
Step-by-step explanation:
4x- 7
Let x=4
4*4 - 7
16 -7
9
Answer:
9
Step-by-step explanation:
4(4)-7=16-7=9
A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd scores a 55 on the test. Select the answer from the drop-down menu to correctly complete the statement. Based on the mean of 70 and his raw score of 55, Todd’s z-score must be
Answer:
Todd's Z-score is - 0.27
Step-by-step explanation:
Explanation:-
Step(i):-
Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.
Mean of the population 'μ' = 70
Standard deviation of the Population ' σ ' = 10
let 'x' be the random variable in normally distributed
Step(ii):-
Given raw score 'x' = 55
Todd's Z-score
[tex]Z = \frac{x-mean}{S.D}[/tex]
[tex]Z = \frac{55-70}{55}[/tex]
Z = -0.27
Final answer:-
Todd's Z-score is - 0.27
True or false cause I honestly forgot
Answer:
false
Step-by-step explanation:
5 cant be put into 2
Answer:
not a function
Step-by-step explanation:
Since one input goes to two different outputs, this is not a one to one correspondence, then this is not a function
The coordinate of point B is -6 and the coordinate of point E is 2.
Find the length of segment BE.
Answer:
4
Step-by-step explanation:
just because i just took it
Find the volume of a cone that has a radius of 3 inches and a height of 9 inches.
(Use 3.14 for pi and round the answer to the nearest hundredth.)
Answer:
84.82
Step-by-step explanation:
I rounded it to the decimals hundredth place if I did not it would have been 84.823.
2y+ 18x = 2x(x +9)
Please show work!
Answer:
Step-by-step explanation:
[tex]2y+18x=2x\left(x+9\right)\\Parabola\:standard\:equation\\4p\left(yk\right)=\left(xh\right)^2\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:parabola\:with\:vertex\:at}\:\left(h,\:k\right), \\\mathrm{and\:a\:focal\:length\:}\:|p|\\\mathrm{Rewrite}\:2y+18x=2x\left(x+9\right)\:\mathrm{in\:the\:standard\:form}\\2y+18x=2x\left(x+9\right)\\\mathrm{Rewrite\:as}\\2y=2x\left(x+9\right)-18x\\\mathrm{Divide\:by}\:2\\y=x^2\\\mathrm{Rewrite\:in\:standard\:form}[/tex][tex]4\cdot \frac{1}{4}\left(y-0\right)=\left(x-0\right)^2\\Therefore\:parabola\:properties\:are:\\\left(h,\:k\right)=\left(0,\:0\right),\:p=\frac{1}{4}[/tex]
Choose the product. -5p 3(4p 2 + 3p - 1) -20 p 5 + 3 p - 1 -20 p 5 - 15 p 4 + 5 p 3 20 p 5 + 15 p 4 - 5 p 3 -20 p 6 - 15 p 4 - 5 p 3
Answer:
20 p^5 + 15 p^4 - 5 p^3
Step-by-step explanation:
5p^3(4p^2 + 3p - 1)
Distribute
20 p^5 + 15 p^4 - 5 p^3
Answer:
- 20 p^5 - 15 p^4 + 5 p^3
Step-by-step explanation:
= - 5p^3(4p^2 + 3p - 1)
= - 20 p^5 - 15 p^4 + 5 p^3
Hope this helps!
From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units. *
Find the explicit formula for the geometric sequence. Then find a8.
4, 8, 16, 64, ....
Which Answer is Correct:
A) an = 4 ⋅ rn – 1; 1,024
B) an = a1 ⋅ 2n – 1; 256
C) an = 4 ⋅ 2n – 1; 512
D) an = 2 ⋅ 4n – 1; 512
Answer:
Step-
Honey it c !!!!………!l║.by-step explanation:
The explicit formula for the given "geometric-sequence" is aₙ = 4 × 2ⁿ⁻¹, and the eight term is 512, Option(c) is correct.
To find the explicit formula for a geometric-sequence, we need to find the common ratio between any two consecutive terms.
In this sequence, we can see that each term is obtained by multiplying the previous term by 2. So, the "common-ratio" is 2.
We also know the "first-term" is 4, so we use the formula for the nth term of a geometric sequence which is : aₙ = a₁ × rⁿ⁻¹,
Substituting the values,
We get,
⇒ a₈ = 4 × 2⁽⁸⁻¹⁾
⇒ a₈ = 4 × 2⁷
⇒ a₈ = 512,
Therefore, the correct answer is (c) aₙ = 4 × 2ⁿ⁻¹; 512.
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The given question is incomplete, the complete question is
Find the explicit formula for the geometric sequence. Then find a₈.
4, 8, 16, 32, 64,....
Which Answer is Correct:
(a) aₙ = 4 × rₙ - 1; 1024
(b) aₙ = a₁ × 2ⁿ⁻¹; 256
(c) aₙ = 4 × 2ⁿ⁻¹; 512
(d) aₙ = 2 × 4ⁿ⁻¹; 512
Which line has a y-intercept of –2?a)
both ℓ and t
b)
t
c)
ℓ
d)
p
Answer:
P
Step-by-step explanation:
It passes through -2 on the y-axis
HOPE THIS HELPS! (:
I need help please!!!!!!!
Answer:
m = 1 and c = 3
Step-by-step explanation:
y = mx + c
so comparing with y = x + 3
m = 1 ( since there isn't any co-efficient of x) and c = 3
Find the surface area and volume of a cube with sides that are 6 inches.
Answer:
Step-by-step explanation:
Surface Area S=6s²
S=6(36)
S=216 in²
Volume V=s³
V=6³
V=216 in³
If f (x) = 4x-3, what is f (x)?
Picture is the options
Answer:
I think it is option C, 3-4x
which inequality is represented by this graph
Answer:
im pretty sure the second option is correct
Step-by-step explanation:
the open circle means the is greater than or equal to
since the arrow is pointing to the right that means that x is greater than
Nathan bought 2 sandwiches and a beverage. each sandwich cost 4.75 and the beverage cost 1.29. how much change does Nathan get back if he pays with a 20 bill
Answer:
9.21
Step-by-step explanation:
Answer:
Nathan has 9.21 change if he pays a 20 bill.
Step-by-step explanation:
help me plz asap ill mark u brainliest
Answer:
b
Step-by-step explanation:
this is because 1 3/4 is equal to 7/4 which we can round to 2. so it says she rode back and forth to school so that would be 2 + 2 and she did that 5 times
this means that the final answer 5 * ( 2 + 2 )
The volume of a cylinder is 441 cubic centimeters and its radius is 7 centimeters.
What is the height of the cylinder?
Enter your answer in the box.
Answer:
689 ft
Step-by-step explanation:
Answer:
2.86
Step-by-step explanation:
h=V
πr2=441
π·72≈2.86479