Using compound interest, it is found that he must invest $45,225 now.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
He wants to have $1,000,000 in 65 - 20 = 45 years, hence [tex]t = 45, A(t) = 1000000[/tex].6.9% annual interest, hence [tex]r = 0.069[/tex].Compounded monthly, hence [tex]n = 12[/tex].Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]1000000 = P\left(1 + \frac{0.069}{12}\right)^{12(45)}[/tex]
[tex]P = \frac{1000000}{(1.00575)^{540}}[/tex]
[tex]P = 45225[/tex]
He must invest $45,225 now.
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Answer:
He must invest $45,225
Select the correct answer.
Which expression is equivalent to the difference shown?
5/m - m+8/ m^2-4m
The expression 5/m - (m+8)/(m^2-4m) is equivalent to 4(m-7)/m(m-4) option (C) is correct.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have a expression:
[tex]=\rm \frac{5}{m} - \frac{m+8}{m^2-4m}[/tex]
To simplified the above expression take the LCM [tex]\rm m^2-4m[/tex]
[tex]=\rm \frac{5(m-4)-(m+8)}{m^2-4m}[/tex]
[tex]=\rm \frac{5m-20-m-8}{m^2-4m}[/tex]
[tex]=\rm \frac{4m-28}{m^2-4m}[/tex]
[tex]=\rm \frac{4(m-7)}{m(m-4)}[/tex]
Thus, the expression 5/m - (m+8)/(m^2-4m) is equivalent to 4(m-7)/m(m-4) option (C) is correct.
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Answer:
see photo
Step-by-step explanation:
Plato/Edmentum
10. Given m and b, write the equation of the line:
m=-4; b=2
Answer:
y= -4x + 2
Step-by-step explanation:
Y= mx + b is used to find the equation of the line
m=-4 a d b= 2
So, you put them into the equation.
show that 12n cannot end with the digit 0 or 5 for any natural number
Answer:
Step-by-step explanation:
It can end with a 0.
For example 12 * 5 = 60.
Help me please ******
Answer:
it is
Step-by-step explanation:
The parallel horizontal sides are the same length, so the figure is a parallelogram.
True or false: (log x)2 = 2logx. Explain your thinking.
how many students are in the year group?
Answer:
372
Step-by-step explanation:
How many students attended school in recent years? In fall 2020, about 48.1 million students attended public schools in kindergarten to grade 12, ...
Missing: group | Must include: group
f(x) = -x - 14
Find x if f(x) = -2
Answer:
x = -12
Step-by-step explanation:
First, you want to plug in f(x)'s value into the equation.
-2 = -x-14
Then solve for x:
x=-14+2
x=-12
This scatter plot shows the number of baskets made and the time in minutes that has passed.
Based on the information in the scatter plot, what is the best prediction for the number of baskets made in 16 minutes?
4 baskets
7 baskets
14 baskets
20 baskets
Scatter plots are used to relate variables using scattered dots.
The best prediction for the number of baskets made in 16 minutes is (c) 14 baskets
From the graph, we can see that the number of baskets made in 14 minutes is 12.
Also, from the graph; as the minutes increases, the number of baskets either remain the same or increases.
This means that, for 16 minutes, the number of baskets would either be 12 (same as 14 minutes) or greater.
The closest to 12 baskets in the option is 14.
Hence, the best prediction for the number of baskets made in 16 minutes is (c) 14 baskets
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Describe the possible length of the third side of the triangle given that the links of the other two sides of 5 inches and 12 inches
___in.
Answer:
60
Step-by-step explanation:
your welcome
Tyler's brother Works
Tyler's brother earns $12 per hour. The store offers him a raise-a 5% increase per hour.
After the raise, how much will Tyler's brother make per hour?
Answer: $12.60 per hour
Step-by-step explanation:
5% of 12 is 0.60
12 + 0.60 = 12.60
Hope you have a great day
Answer:
$12.60 per hour
Step-by-step explanation:
5% of 12 is 0.60
and 12 + 0.60 = 12.60
Hope it makes sense
I need some help :(
A)4
B)2.9
C)3.8
Answer: C
Step-by-step explanation:
Is -9 a real or imaginary number?
Answer:
-9 is a real number.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Please answer this question Step by Step method.
If it is correct you will get a thank you and 5 stars from me.
Answer:
see explanation
Step-by-step explanation:
The perimeter P is the sum of the 4 sides of the rectangle.
The opposite sides of the rectangle are congruent , then
P = 2x + 1 + 2x + 1 + x + x ← collect like terms
P = 6x + 2
To attend a class field trip, each student will have to pay 3$ for a theater ticket and $2.50 for transportation. If there are 200nstudents in the class, how much money will be collected for the field trip?
Answer:
1100
Step-by-step explanation:
because everyone will be giving 5.5 dollars and if you multiply that with 200 you get 1100
Answer:
1,100
Step-by-step explanation:
Identify the diameter of the circle
Solve for the variable PLEASE HELP
Answer a+ 4 - a-7 a-7 _5 = 37_6
Step-by-step explanation:
Answer:
a=-7
Step-by-step explanation:
Find least common multiplier
LCM=105
Multiply to function
a+4/3 *105- a/7= 105* a+7/5
Simplify
35(a+4)-15x=21(a+7)
Expand
20a+140=21a+147
Subtract 140 from both sides
20a=21a+7
Subtract 21a from both sides
-a=7
Divide both sides by -1
-a/-1=7/-1
a=-7
-0.5 (bar over 5) as a fraction simplified
Answer:
5/9
step by step follow up
35. What is the 40th term of the arithmetic sequence
-17,-47, -77, -107...
Answer:
40th term = -1187
PLEASE HELP QUESTION IN PICTURE
question 19 of the attachment below
Answer:
The proof of area is [tex]\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex] is done
Step-by-step explanation:
Area of regular hexagon[tex]=6\times[/tex] Area of equilateral triangle
Area of regular hexagon ABCDEF with side [tex]x[/tex]
[tex]=6\times \frac{\sqrt{3} }{4} x^{2} \\\\= \frac{3\sqrt{3} }{2} x^{2}[/tex]
Area of regular hexagon FGHIJK with side [tex]px[/tex]
[tex]= \frac{3\sqrt{3} }{2} (px)^{2}\\\\=\frac{3\sqrt{3} }{2} p^{2}x^{2}[/tex]
Area of shaded region
[tex]=\frac{3\sqrt{3} }{2} p^{2}x^{2}-\frac{3\sqrt{3} }{2} x^{2}\\\\=\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex]
PLEASE HELP!! With explanation/solution please!!
Step-by-step explanation:
Just sum the number of cows and buffaloes:
2p^2 - p + 4 + p^2 + p + 1 = 3p^2 +5 animals.
Answer:
Step-by-step explanation:
here is an explanation:
2p²-p+4+p²+p+1=3p²+5
You can add 2p² and p² because they are both squared (²). -p+p=0, because the first p is negative (-). Lastly, you can add 4+1=5. Hope this helped! Lmkp if you are still confused :) <3
EASY 25 POINTS
Please help me with this math problem it is due tomorrow.
Answer:
D
Step-by-step explanation:
I really need sum help plz
Answer:
32 Strawberries
Step-by-step explanation:
The amount of strawberries you need for 48 cups of juice is 32
please help me with this question
at the first blank there are options either (y-intercept, slope, x-intercept)
second blank (positive, negative, 0, a whole number)
Answer:
y-intercept
zero
Step-by-step explanation:
We can determine the differences between proportional and non-proportional situations or relationships. We all need to know that linear relationships can be represented as tables, words, equations, and graphs. The non-proportional relationship will affect the y-intercept in the graph and it will no longer than zero and the ratios in the table not be proportional.
Adam has $87.14. He has 10 bills and 19 coins how ? Explain how you solved it .
Answer: $42
Step-by-step explanation:
Identify the solution set of the inequality, using the given replacement set.
x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}
{–10, –4.3, –4}
1.{–10, –4.3, –4}
2.{–4, –3.9, 2}
3.{–10, –4.3}
4.{–3.9, 2}
Step-by-step explanation:
es el número 4[-3.9,2] esta es la respuesta
given the polynomial 6x^4+3x^3-7x^2+4x+5 choose all the following statements that are true?
A. The polynomial has a degree of 6
B. The polynomial has a leading coefficient of 4
C. The polynomial has 4 terms
D. The polynomial has a degree of 4
E. The polynomial has a leading coefficient of 6
Answer:
D and E are true
Step-by-step explanation:
The degree of a polynomial is the value of the largest exponent of the variable within the polynomial, that is the term
6[tex]x^{4}[/tex]
Thus the polynomial is of degree 4 → D
The leading coefficient is the coefficient of the variable with the largest exponent, that is
6[tex]x^{4}[/tex]
The leading coefficient is 6 → E
What part of 28 is 17?
17 is 60.7% percentage of the number 28.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We have to find what is 17 in 28.
To find this we have to multiply x with 100 and divide it by hundred which is equal to seventeen
x/100×28=17
0.28x=17
Zero point two eight times of x equal to seventeen
Divide both sides by 0.28
x=17/0.28
We get sixty point seven one percentage
x=60.71%
Hence,17 is 60.7% percentage of the number 28.
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Help me plsss pls psl
Answer: A, B, D
it can’t be “C” because that would be equal to 40%
Please help I was supposed to do this yesterday
If x=-4 and y= 9/2
Answer:
1/6([tex]3x^{2}[/tex]+4y)
Step-by-step explanation: