Answer:
When using formulas in application, or memorizing them for tests, it is helpful to note the similarities and differences in the formulas so you don’t mix them up. Compare the formulas for savings annuities vs payout annuities.
Savings Annuity Payout Annuity
P
N
=
d
(
(
1
+
r
k
)
N
k
−
1
)
(
r
k
)
P
0
=
d
(
1
−
(
1
+
r
k
)
−
N
k
)
(
r
k
)
PAYOUT ANNUITY FORMULA
P
0
=
d
(
1
−
(
1
+
r
k
)
−
N
k
)
(
r
k
)
P0 is the balance in the account at the beginning (starting amount, or principal).
d is the regular withdrawal (the amount you take out each year, each month, etc.)
r is the annual interest rate (in decimal form. Example: 5% = 0.05)
k is the number of compounding periods in one year.
N is the number of years we plan to take withdrawals
The temperature t is at least 75
Answer:
t ≥ 75
Step-by-step explanation:
"at least 75" means 75 or higher.
The temperature is equal to 75 or greater than 75.
t ≥ 75
You find one quarter, two dimes, and two nickels.
a. Write the dollar amount as a decimal.
Answer:
$0.55
Step-by-step explanation:
1 quarter is 25 cents
2 dimes is a total of 20 cents
2 nickels is a total of 10 cents
if you add all of it up 25+20+10 you get 55 cents but u need it in dollar amount so it would but $0.55 since u have less than a dollar.
Please help！With steps and explanation
9514 1404 393
Answer:
dy/dx = (2 -x)/40.005Step-by-step explanation:
(a) Solving the x-equation for u gives ...
u = (x -1)/4
Differentiating both equations with respect to u, we have ...
dy/du = 1 -4u
dx/du = 4
Then dy/dx is ...
dy/dx = (dy/du)/(dx/du) = (1 -4u)/4
Substituting for u gives ...
dy/dx = (1 -4(x -1)/4)/4
dy/dx = (2 -x)/4
__
(b) The approximate change in y is ...
∆y ≈ (dy/dx)(∆x)
For ∆x = 2.98 -3.00 = -0.02, and x=3, the approximate change is ...
∆y ≈ (2 -3)/4(-0.02)
∆y ≈ 0.005
(7 pts) A school has 400 feet of fencing to build a set of 3 athletic fields as shown below. What dimensions
should they use to build the largest possible athletic complex? Include appropriate units with your answer.
х
Answer:
Step-by-step explanation:
the side lengths are (400 - 4x)/2 = 200 - 2x
A = x(200 - 2x)
A = 200x - 2x²
Maximum area will occur when the derivative is set to zero.
dA/dx = 200 - 4x
0 = 200 - 4x
x = 200/4 = 50 ft
each field will be 50 x 33⅓ ft.
total area will be 5000 ft²
Which is not very big for a sports complex. I've owned houses with more floor space than that.
4% improvement of 82
solution for what is 4% of 82:
4 percent 82*=
(4:100)*82=
(4*82):100=
328:28=3.28
Step-by-step explanation:
Step 1: our output value is 82
Step 2: it represent the unknown value with x
Step3: from stop one above ,82=100%.
Step4: Similarly. x=4%
Step5: this results in a pair of simple equations
82 equals 100% (1).
x=4%(2).
Step6: by dividing equation 1 by equation 2 and noting that both the rhs right hand side of both equations have the same unit (%) we have unit
7/2(-4-2/3g)=
Pleas help meeeeeeudkxi
Answer:
-14g-84/6
Step-by-step explanation:
multiply the numbers
7/2 (-4-1 · 2/3g)
7/2(-4-2/3g)
combine multiplied terms into a signle fraction
7/2(-4-2/3g)
7/2(-4+-2g/3)
find common denominator
7/2(-4+-2g/3)
7/2(3(-4)/3+-2g/3)
combine fractions with common denominator
7/2(3(-4)/3+-2g/3)
7/2(3(-4)-2g/3)
multiply the numbers
7/2(3(-4)-2g/3)
7/2(-12-2g/3)
rearrange terms
7/2(-12-2g/3)
7/2(-2g-12/3)
combine multiplied terms into a single fraction
7/2 · -2g-12/3
7(-2g-12)/2 · 3
distribute
7(-2g-12)/2 · 3
-14g-84/2 · 3
multiply the numbers
-14-84/2 · 3
-14g-84/6
Topics: Precalculus, Matrix
Pls help me. I have been struggling.
9514 1404 393
Answer:
A, C, F, G, I
Step-by-step explanation:
A relation is "odd" if it is symmetrical about the origin. That is, f(-x) = -f(x). Here are the symmetries of the graphs shown:
A: origin
B: y-axis
C: origin, and x- and y-axes
D: x-axis
E: no symmetry
F: origin
G: origin, and x- and y-axes
H: x-axis
I: origin, and x- and y-axes
The function f is defined by f (x)=x²+4.
Find f (3a).
I’m confused explain if you want or just say the answer!!! Thank you
Answer:
240
Step-by-step explanation:
Bottom rectangle volume:
4x8x5=160
The 2 top rectangles:
2x4x5=40
40x2=80
Total volume:
80+160=240
Triangle proportions pls help w/ work
Answer:
64
Step-by-step explanation:
Let the missing side be " x "
30 / ( 30 + 10 ) = 48 / x.
30 / 40 = 48 / x
3 / 4 = 48 / x
3 * x = 4 * 48
x = 4 * 48 / 3
= 4 * 16
x = 64
What is the surface area I really need help
Answer:
It is c, 60 in²
Step-by-step explanation:
There are 4 triangles the same size. Each triangle has the same hieght and base.
using the formula how to calculate area of triangle, area is 15 in² for each.
we multiply that by 4.
answer is 60in²
Hope this helps :)
pls mark as brainliest :))
Investment account starting balance of $7400 in one year it had increased by 7.5%. How much is this in dollars
Answer:
7955
Step-by-step explanation:
how do I simplify 2x-4(x+5)
Answer:
-2x-20
Step-by-step explanation:
Answer:
-2x - 20
Step-by-step explanation:
Step 1: Apply the distributive property.
[tex]2x + (-4)(x) + (-4)(5)[/tex] [tex]2x -4x - 20[/tex]Step 2: Combine like terms.
[tex](2x-4x)+ (-20)[/tex] [tex]-2x - 20[/tex]Therefore, the answer is -2x - 20.
Question 2 Three hundred students in a school were asked to select their favorite fruit from a choice of apples, oranges, and mangoes. This table lists the results.
what is the probability that the student is a girl who chose apple as her favorite fruit
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
y=8x+3
Step-by-step explanation:
to check plug the numbers to the equation and you will that it is right
Answer:
f(x) = 8x + 3
Explanation:
I knew f(x) = mx +b is the formula for a linear equation and that when x = 0,
f(x) = b
So, when x = 0 in the table, f(x) = 3 and therefore b = 3
Now we can plug in f(x) = 11 and x =1 into f(x) = mx+b along with our b value
11 = m(1) + 3
solving for m we get m = 8 which finishes our unknowns
f(x) = mx + b
f(x) = 8x + 3
The temperature at 2 AM was 13°F and the temperature was decreased 12°F and then increased 7°F what integer represents the new temperature
A club plans to spend no more than 85% of the $1,200.00 in its activity budget to buy as many
radio-controlled helicopters as possible. The price of a helicopter is $110.99 plus sales tax of
6%. What is the greatest number of helicopters the club can buy?
Sales tax on helicopter
[tex]\sf\longmapsto 0.6(110.99)=6.65[/tex]
Cost of one helicopter
[tex]\sf\longmapsto 110.99+6.65=117.64[/tex]
Now
85% of 1200.00:-[tex]\sf\longmapsto 0.85(1200)= 1020[/tex]
Total helicopters:-
[tex]\sf\longmapsto 1020/117.64\approx 9[/tex]
To tie-dye one T-shirt 3/8 cup of dye is needed. the table shows the number of cups of each color of dye in Mr. Galvez's art class. how many t-shirts can be made using only orange dye?
Amount of Dye
red: 12
orange:3/4
Answer:
Two shirts can be made
Step-by-step explanation:
We do have 3/4c of orange dye.
We do require 3/8c per T-shirt.
But, using math, it can be shown that 3/4c=2×3/8c
Looking at it this way: 3/4c = 2x3/8c
Where the 2 is the number of T-shirts we can produce.
It is easy now to see: 3/4c = 2x3/8c = 6/8c
So: 34c=68c=34c→ and all of this is orange dye
-11/15 divided by 1/12
Answer:
-8 [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
[tex]\frac{-11}{15}[/tex] ÷ [tex]\frac{1}{12}[/tex] = [tex]\frac{-11}{15}[/tex] x 12
= [tex]\frac{-132}{15}[/tex] = -8 [tex]\frac{4}{5}[/tex]
The median of 61 numbers is 39. At most thirty of the numbers can be greater than 39.
True or False
Answer:
Step-by-step explanation:
If you have 61 numbers, the middle number is the median. 30 numbers are below the median and 30 numbers are above the median. The middle number is the 61 number. At most and at least 30 numbers can be above the median. I think the statement is true.
(3,-3), m=-2
y=
What does y equal?
Answer:
-9
Step-by-step explanation:
y=-2(3)-3
Cual es la simplificación de 72/64
9/8
Step-by-step explanation:
divides 72 por 8 que es 9, y 64 dividido entre 8 es 8 dando te 9/8.
Help pls I’ll give BRAINLIEST
Sales Revue • Total sales revenue was $120 million in Quarter 1 • Total sales revenue in Quarter 2 decreased by $10 million compared to Quarter 1. • Sales revenue in the East was $78 million in Quarter 1. • Sales revole in the West increased by $46 million from Quarter 1 to Quarter 2. Question Arrange the sales revenue lo 000.0001) by Quirtor und the percentages in the East and West regions
The required revenue table categorized by Quarter (Qrt1 and Qrt 2) and Region (East and West) is :
____________Sale Revenue _____________
_______ Qrt 1 ___ Qrt1 %___ Qrt 2 ____ Qrt2 %
East ___ $78 _____65% ____$22 ______ 20%
West___ $42 _____ 35%____$88 ______ 80%
Sales Revenue ; Quarter 1 = $120 million Sale Revenue ; Quarter 2 = $120 - $10 = $110 millionQuarter 1 :
East = $78 million East percentage = (78/120) × 100% = 65%West = 120 - 78 = $42 million West percentage = 100% - 65% = 35%Quarter 2 :
West = $42 + $46 = $88 million West percentage = (88/110) × 100% = 80%East = $110 - $88 = $22 million East percentage = 100% - 80% = 20%Therefore, The distribution table which displays the revenue of the comp may is given above.
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Solve for r.
18r - 10r - 20r + 2r + 9r = 18
r =
Submit
Answer:
[tex]r=-18[/tex]
Step-by-step explanation:
1) Combine like terms
[tex]18r-10r-20r+2r+9r=18\\-r=18[/tex]
2) Divide both sides of the equation by the same term
[tex]-r=18\\\frac{-r}{-1} =\frac{18}{-1}[/tex]
3) Simplify
a. Cancel terms that are in both the numerator and denominator
[tex]\frac{-r}{-1} =\frac{18}{-1} \\r=\frac{18}{-1}[/tex]
b. Divide the numbers
[tex]r=-18[/tex]
Answer: -18
Step-by-step explanation:
18r - 10r - 20r + 2r + 9r = 18
-r = 18
18/-1
r = -18
The product of three integers is -40. What could the three integers be?
Explain your thinking.
Answer:
10, 4, -1
Step-by-step explanation:
10×4=40
40×-1=-40
-40=-40
The three integers could be 8, -5, and 1.
What are integers?A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero.
Given that, the product of three integers is -40.
Since the product is negative, there should be at least one negative number.
The three numbers can be 8, -5, and 1.
8 × (-5) ×1 = -40
Hence, the three integers could be 8, -5, and 1.
Learn more about integers:
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Hi, need help on this really bad pls (:
Answer:
1000
Step-by-step explanation:
The 8 in the tens place is worth 80
The 8 in the hundredths place is worth 0.08
80 ÷ 0.08 = 1000
-Chetan K
Find the least common multiple of 15x^2 and 6x.
Answer:
30x^2
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
what desmal is inbetween 1/2 and 3/4
Answer:
1/2 = 0.5
3/4 = 0.75
Step-by-step explanation:
What number is 30% of 20? for 10 points and brainlist
Answer:
6
Step-by-step explanation:
20*.3=6.
30 percent turns into .3