Answer:
hope this helps
check the picture attached for steps
One metal alloy is 25% copper, while another is 50% copper. How much of each alloy should be used to make 1500g of metal alloy that is 40% copper?
Answer:
400g
Step-by-step explanation:
Kevin plans to retire in 30 years, and he plans to save up $250,000 for retirement. He has two options
• Plan 1: compounded monthly with an APR of 3.3%
• Plan 2: compounded quarterly with an APR of 3.5%
Compare these two options to see which one is more beneficial for Kevin. When you make the comparison,
you should at least calculate
1. the amount he needs to deposit each time period
2. the total interest accrued
The rate of growth of the amount invested with time in Plan 1 is slightly higher than the amount invested in Plan 2.
The option most beneficial to Kevin by comparison is Plan 1Reasons:
The number of years for the investment = 30 years
The amount he plans to save = $250,000
The investment plan options are;
Plan 1: Compounded monthly investment with APR, r = 3.5%
The formula for monthly contributions is presented as follows;
[tex]\displaystyle FV = \mathbf{\frac{PMT \cdot \left( 1 + \frac{r}{n}\right)^{n\cdot t} - 1}{\frac{r}{n} }}[/tex]
Which gives;
[tex]\displaystyle 250,000 = \mathbf{\frac{PMT \cdot \left( 1 + \frac{0.033}{12}\right)^{360} - 1}{\frac{0.033}{12} }}[/tex]
Solving gives;
The amount he needs to deposit each month, PMT ≈ $256.18The total deposit = 360 × $256.18 = $92,224.2
Total interest accrued = $250,000 - $92,224.2 ≈ $157,775.78Plan 2: Compounded quarterly, with APR, r = 3.3
Which gives;
[tex]\displaystyle 250,000 = \mathbf{\frac{PQT \cdot \left( 1 + \frac{0.035}{4}\right)^{120} - 1}{\frac{0.033}{4} }}[/tex]
The amount he needs to deposit each quarter ≈ $769.34The total deposit = $769.34 × 120 = $92,321.3336
Total interest accrued = $250,000 - $92,321.3336 ≈ $157,678.67
The total interest accrued by investing in plan 1 which is approximately
$157,775.78 is larger than the interest accrued on Plan 2 which is
approximately $157,678.67
The option most beneficial to Kevin is Plan 1, due to the higher total interest accruedLearn more here:
https://brainly.com/question/20382843
Evaluate.
(a – 2b)^3 when a= -3 and b = -1/2 Enter your answer in the box
Answer:
- 8
Step-by-step explanation:
Substitute the values for a and b into the expression
(- 3 - 2(- [tex]\frac{1}{2}[/tex] ) )³
= (- 3 + 1)³
= (- 2)³
= (- 2) × (- 2) × (- 2)
= 4 × - 2
= - 8
Graph y= –3x+4. 20 POINTS!!!
Answer:
y=3 x−4
Step-by-step explanation:
It’s for pre college
Answer:
y=-2x+12
Step-by-step explanation:
A die is rolled 10 times. Find the probability of rolling exactly 1 four.
Answer:
10 in 60 chance, or simplified to 1 / 6
Step-by-step explanation:
1 in 6 chance of rolling a four in one roll
Multiply both sides by 10
10 in 60
The probability of rolling exactly 1 four is [tex]1.65\times10^{-8}[/tex].
Given that, a die is rolled 10 times.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
When throwing die once, we get
Probability of getting 4 = 1/6
Now, a die is rolled 10 times
= [tex](\frac{1}{6} )^{10}[/tex]
= 1/60466176
= [tex]1.65\times10^{-8}[/tex]
Hence, the probability of rolling exactly 1 four is [tex]1.65\times10^{-8}[/tex].
To learn more about the probability visit:
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How do you write 19/25 as a percentage?
Answer:
76%
Step-by-step explanation:
25*4=100
19*4=76
Which transformation of f(x) will produce the same graph as g(x)?
f(x) = 3x
g(x) = f(x) + 3
Answer:
its D.
Step-by-step explanation:
Answer:
its not D. I tried it and marked it wrong for some reason.
Step-by-step explanation:
happens to be this happaned a few times already but ill see whats up
Pls help im very tired and exhausted
Answer:
C that's right
I'm not wrong
Step-by-step explanation:
correct me if I'm wrong
The sales tax rate is 10%. If Janelle buys a bookcase priced at $92, how much tax will she pay?
$
Answer:
$9.20
Step-by-step explanation:
10% of 92.0 is 9.2 (just move the decimal point one place to the left
Imma leave this here until someone answer it :))
Answer:
Step-by-step explanation:
1) x +y = 3
Subtract 'x' from both sides
y = -x + 3
2) x - 3y = 12
Subtract 'x' form both sides.
-3y = -x + 12
Divide the entire equation by (-3)
[tex]\dfrac{-3y}{-3}=\dfrac{-x}{-3}+\dfrac{12}{-3}\\\\\\y = \dfrac{1}{3}x-4[/tex]
3) 5x + 2y = 10
Subtract 5x from both sides
2y = -5x + 10
Divide the entire equation by 2
[tex]\dfrac{2y}{2}=\dfrac{-5x}{2}+\dfrac{10}{2}\\\\\\y = \dfrac{-5}{2}x + 5[/tex]
4) y = 6x + (1/3)
It is already in y =mx +b form
5)
[tex]y=\dfrac{1}{x}*x-15\\\\\\y = 1-15\\\\y = -14\\\\y=0x -14[/tex]
Help me with this question pls
Answer:
y=-0.25x+2
Step-by-step explanation:
the slope is down one over 4, or -0.25. The y intercept is 2, so b is +2
What is the ratio of 8 triangles to 10 stars in simplest form?
Please help me with this
Answer:
264 cm³
Step-by-step explanation:
Consider the L-shaped end of the figure. It is 7 cm wide, and 3+4 = 7 cm high. It can be considered to be a 7 cm square with a portion cut out of the upper right corner. That portion is a square that is 4 cm by 4 cm.
Then the area of the L-shaped end is ...
(7 cm)(7 cm) -(4 cm)(4 cm) = (49 -16) cm² = 33 cm²
The volume of the figure is the product of this area and the overall length, which is 8 cm.
V = Bh = (33 cm²)(8 cm) = 264 cm³ . . . volume of the figure
_____
Additional comment
There are other ways the volume can be figured. For example, it can be considered as a 7 × 8 × 3 cm block with a 3 × 4 × 8 cm block on top. That gives a volume of ...
V = LWH . . . . for each block
V = (7 cm)(8 cm)(3 cm) +(3 cm)(4 cm)(8 cm) = 168 cm³ +96 cm³ = 264 cm³
if a child ticket is $5.20 and adult tickets are $9.90 and the total sale is $859.00 if there is 120 tickets total how many children tickets would there be
Answer:
11
Step-by-step explanation:
What is the slope and the y-intercept of the graph of y = 8/9x - 8
A marketing analyst runs a bivariate regression model to forecast sales at a retail store based on advertising. Her model returns the following parameter estimates: b0: 145.7 b1: 99.1 Standard Error: 72.37 She wished to forecast sales for a store where advertising equals 163. What is the forecasted standard deviation of the sales distribution for this store
Answer:
yes sir
Step-by-step explanation:
6.8py
Is y+1=5(x-9) linear or nonlinear
Answer:
It Is Nonlinear
Step-by-step explanation:
Nonlinearity is a term used in statistics to describe a situation where there is not a straight-line or direct relationship between an independent variable and a dependent variable. In a nonlinear relationship, changes in the output do not change in direct proportion to changes in any of the inputs.
The function f(x) = −(x + 5)(x + 1) is shown. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 3, 4), and goes through (negative 1, 0). What is the range of the function? all real numbers less than or equal to 4 all real numbers less than or equal to −3 all real numbers greater than or equal to 4 all real numbers greater than or equal to −3 Mark this and return
Answer:
Vertex of a quadratic function (formula)
MATH.QUESTION.HELP. BRAINILEST WILL BE GIVEN!!!
Answer:
C. [tex] 2 \dfrac{1}{3} [/tex]
Step-by-step explanation:
[tex]\dfrac{1}{3} \cdot 7 = \dfrac{1}{3} \cdot \dfrac{7}{1} = \dfrac{7}{3} = 2 \dfrac{1}{3}[/tex]
Plz help I need help
Answer: y = 6x
Step-by-step explanation:
This table portrays a straightforward proportion between x and y. y is very simply 6 times x.
Hope it helps :) and let me know if you want me to elaborate.
Please help I will give brainliest
Answer: It goes 1/2 up each time
help please i got absolutely no clue how to solve this
Answer:
A)
Step-by-step explanation:
To complete the square, we need to find such p and q that:
r^2 - 12r - 27 = (r - p)^2 - q = r^2 - 2pr + h^2 - q
Because we know that 2pr = 12r, then p = 6
(r - p)^2 - q = (r - 6)^2 - q = r^2 - 12r + 36 - q
We know that 36 - q = -27, so q = 36+27 = 63
Now we can solve for = 0
(r - 6)^2 - 63 = 0
(r - 6)^2 = 63
r - 6 = √63 or r - 6 = -√63
r = 6 + √63 = 6 + 3√7 or r = 6 - √63 = 6 - 3√7
Karen is throwing an orange to her brother Saul, who is standing on the balcony of their home. The height h, in feet, of the orange above the ground t seconds after it is thrown is given by
h(t) = −16t2 + 32t + 2, 0 ≤ t ≤ 2.118.
If Saul's outstretched arms are 16 feet above the ground, will the orange ever be high enough so that he can catch it?
a. No. The orange will reach a maximum height of 4 feet.
b. Yes. The orange will reach a maximum height of 18 feet.
c. There is not enough information given to answer the question.
d. No. The orange will reach a maximum height of 2 feet.
e. Yes. The orange will reach a maximum height of 36 feet.
Answer:
Yes, the orange will be high enough so
that he can catch it because maximum height
attained if 20 ft.
Step-by-step explanation:
You have $600,000 saved for retirement. Your account earns 5.5% interest. How much, to the nearest dollar, will you be able to pull out each
month, if you want to be able to take withdrawals for 20 years?
9514 1404 393
Answer:
$4127
Step-by-step explanation:
The amortization formula is good for finding this value.
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where P is the amount invested at rate r for t years.
A = $600,000(0.055/12)/(1 -(1 +0.055/12)^(-12·20)) = $4127.32
You will be able to withdraw $4127 monthly for 20 years.
Is the value negative 10 to the left or right of a negative 5 on a horizontal number line?
Answer:
Step-by-step explanation:
there both 54. While they were out Christmas shopping, Mrs. Berry took
her family to eat at Olive Garden. Their bill total was $65. Since
it is the holiday season-they decided to leave a 25% tip. You
pay at the table at this restaurant. How much would Mrs. Berry
need to leave on the table, including the tip?
A. 81.25
B. 16.25
C.78.00
D. 13.00
Answer:
B. $16.25
Step-by-step explanation:
All you have to do is find 25% of $65 which is $16.25.
Answer:
C would be the correct answer.
Geez people are already doing Christmas shopping and thanksgiving is next week come on now. Lol I over react when I see Christmas in November.
Step-by-step explanation:
Hope this helps:)
M=-1, b=2 write an equation of a line with the given slope m and y- intercept b
Answer:
y = - x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = - 1 and b = 2 , then
y = - x + 2 ← equation of line
What is 36:216 simplified?
Answer : 1/6
Explanation : If 216 is divided by 36, you will get your answer 1/6.
Perform the indicated operation.
1) f(x) = 4x + 5
Find f(f(-1))
Answer:
Step-by-step explanation:
f(-1)= 4(-1) + 5 = -4 + 5 = 1
f(1)= 4(1) + 5 = 9