Answer:
4448.23
Step-by-step explanation:
[tex]AV=PV(1+\frac{i}{n})^{nt}\\\\6000=PV(1+\frac{.06}{12})^{5*12}\\\\6000=PV*1.3488\\\\PV= 4448.23[/tex]
The present value of an investment that will be worth $6000 at the end of five years is, $4448.23
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Annual value = $6,000
Time = 5 years
Rate = 6%
Hence, We get;
A = P (1 + r/n)ⁿˣ
Substitute all the values, we get;
⇒ 6000 = P (1 + 0.6/12)⁶⁰
⇒ 6000 = P × 1.3488
⇒ P = $4448.23
Thus, The present value of an investment that will be worth $6000 at the end of five years is, $4448.23
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A school staff meeting had 50 teachers in attendance, 30% of whom were first-year teachers.
How many first-year teachers were in the meeting?
Answer:
15
Step-by-step explanation:
50 times 30 over 100 you will get 15
4/5 divided by 3/4 =
Answer:
16/15 or 1 1/15
Step-by-step explanation:
4/5 divided by 3/4
Flip 3/4 so it is 4/3
Multiply 4/5 by 4/3
16/15
Pls help!! i beg you
Answer:
fiesta size which is 5 times bigger than the normal size, and the fiesta size price is a little less than 3 times the normal price basicly if you bought 5 of those, you would get the same amount which. is a waist of money, therefore the fiesta size bag is a better deal to purchase
Hope It Helps!
9 × 10²
I NEED ANSWERS QUICK
boole summation formula used in real life
Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x
a y = 14^x
b y = -3 (17)^x
c y = 120x
d y = -275x
Answer: y = 14^x
Step-by-step explanation:
Here the options are:
a y = 14^x
b y = -3*(17)^x
c y = 120x
d y = -275x
to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:
the derivations are:
a y = x*14^(x - 1)
b y = -x*3*(17)^(x - 1)
c y = 120
d y = -275
So we can already discard options c and d, because have constant rate of change.
Then we keep options a and b.
Always when we have an exponential function, like a^x and b^x
The one with the larger base will be steeper.
So if a > b, then:
a^x is steeper than b^x
In this case, the function:
y = -3*(17)^x
has a larger base, but, this function is negative.
This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)
Then the left option (a: y = 14^x)
Will be the correct one.
(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)
calcule el cociente de los siguientes ejercicios
(-8)/(+2)
Answer:
-4
Step-by-step explanation:
Write the coordinates of the vertices after a reflection across the line x=-1
Answer:
U is (0,-8)
V is (0,-10)
T is (5,-8)
S is (5,(-10)
the value of the 5 in the number 40.52 is _____ the value of the 5 in 115.78?
The value of each digit in a number is known as the place value. The value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The value of 5 in the given numbers can be written as,
The value of the 5 in the number 40.52 is 0.5.The value of the 5 in the number 115.78 is 5.Now, we can write the value of the two numbers as,
5 = 0.5 × x
x = 5/0.5
x = 10
Hence, the value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.
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Alecia had save 60% of the cost of a new cell phone. If she has saved $105, what is the full price of the cell phone?
A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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11 b = 5, what is a
B. 25
C, 75
D. 125
Answer:
2.2
Step-by-step explanation:
Someone please help
Answer:
100
Step-by-step explanation:
360 is the total degree for every quadrilateral. 80+75+105=260. 360-260=100.
A cable TV company charges $28 for the basic service plus $8 for each movie channel. Let y be the total cost
in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept form of the equation.
Look at pic
Answer:
y= 28x+8
Step-by-step explanation:
“Half of a number (n) is at least 22."
translate and solve
Answer:
n >_44
Step-by-step explanation:
1/2n>_22
(times 2 on both sides)
n >_44
*** >_ is greater than or equal to sign
what is the area of a circular swimming pool with the radius of 3 feet
Answer:
9[tex]\pi[/tex]
Step-by-step explanation:
r=3
Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]
Choose the number that correctly completes the ratio table.
Answer:
its 8:9
Step-by-step explanation:
It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.
what are scale drawings
Answer:
A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.
Step-by-step explanation:
Answer:
Answer down below!
Step-by-step explanation:
A scale drawing is a drawing that is downsized. They are usually used to see how small to make a particular thing.
PLEASE HELP WILL GIVE LOTS OF POINTS & BRAINLY!!
Answer:
the amplitude is 5
the period is 4 pi
Step-by-step explanation:
Mr. Thomas bought 12 pounds 8 ounces of flour. If he uses 4 ounces of flour for each batch of
sugar cookies, how many batches of sugar cookies can he make? (1)
what is 0.48 times 0.4
Answer:
0.193
Step-by-step explanation:
Reuben invested his savings in two investment funds. The $18,000 that he invested in Fund A returned a 5% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 4% profit?
Answer:
He invested $13500 in fund A, and $4500 in Fund B
Step-by-step explanation:
maths
Using the equation 2 + 3/41 = 5, what does the value of I equal?
Answer:
i did't see the value I in the equation
Step-by-step explanation:
What is the scale factor of this dilation?
A:2/3
B:1 1/2
C:3
D:5
Please hurry it’s timed
Answer:
1 1/2
B
Step-by-step explanation:
WILL GIVE BRAINLIEST Stefan is making new cushion covers for a chair. There are three sizes of
cushions on the chair. What is the surface area of the seat bottom cushion?
A. 990 square inches
B. 846 square inches
C. 320 square inches
D. 756 square inches
Answer: 990
Step-by-step explanation:
(18 x 21) + (3 x 18) + (21 x 18) + (2)(21x3) + (3 x 18) = 990
Answer:
A. 990
Step-by-step explanation:
(20,-6)(6,5) find the slope
How Many Times Done 16 go Into 78!??!!!!?!!?!??!?!?! HELP ME!!!
Answer:
4.87500
Step-by-step explanation:
hope this helps
Answer:
4.875
Step-by-step explanation:
78 divided by 16 = 4.875
Put these fractions in order of size
A person who filed bankruptcy in the past is able to get a 30-year mortgage loan at a rate that is 6% higher than what they could have received if they had not filed. The interest rate this person pays on a $150,000 loan is 11%, compounded monthly. Assume the person could have received the lower interest rate on the loan and saved all of the difference in the payments for the first 10 years of the loan. If this person invested this total amount in an account paying simple interest at the rate of 2.5%, how much money would have accumulated in interest by the time the mortgage is paid off? a. $37,395.18 b. $74,790.37 c. $623.25 d. $3,739.52
Answer:
A. $37,395
Step-by-step explanation:
correct on edge! hope it helps :)
The savings from the difference between the 30–year loan at 11%, which
is 6% gives an interest when the mortgage is paid of approximately;
a. $37,395.18
How can the amount interest accumulated be calculated?
The amount paid is given as follows;
[tex]Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
Which gives;
[tex]M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}[/tex]
Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8
At the lower interest rate the person could have received (11 - 6 = 5)%, we have;
[tex]M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23[/tex]
Payment in 10 years = $805.23 × 120 ≈ $92,227.6
Savings = $171,418.8 - $96,627.6 = $74,791.2
The time duration the savings is invested in the account = 30 years - 10 years = 20 years
Which gives;
Simple interest after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6
Therefore;
The option that best gives the amount of money that would have accumulated in interest is the option a.
a. $37,395.18
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Calculate the slope look at pic. Help plz!