Using compound interest, it is found that he must deposit $56,389.
Compound interest:
[tex]A(t) = P(1 + \frac{r}{n})^{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:
Hopes to have $80,000 in 20 years, thus [tex]t = 20, A(t) = 80000[/tex].Interest rate of 1.75%, thus [tex]r = 0.0175[/tex].Compounding monthly, thus [tex]n = 12[/tex]The investment is of P, for which we have to solve.Then:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]80000 = P(1 + \frac{0.0175}{12})^{12(20)}[/tex]
[tex]P = \frac{80000}{(1 + \frac{0.0175}{12})^{12(20)}}[/tex]
[tex]P = 56389[/tex]
He must deposit $56,389.
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PLEASE PLEASE PLEASE HELP
10- 9
11- 5
12- 1
13- 10
14- 3
15- 7
16- 3
17- 3
18- 6
These triangles
are congruent by
the triangle
congruence
postulate [? ]
A. SSS
B. SAS
C. Neither, they are not congruent
Answer:
A
Step-by-step explanation:
The markings indicate that all three sides of each triangle correspond with one another meaning that they are congruent by the SSS (Side, Side, Side) postulate.
does anyone know how to do this
Answer:
x = 2 and y =
Step-by-step explanation:
y = 2x - 1
y = -x + 5
2x - 1 = -x + 5
2x + x = 5 + 1
3x = 6
x = 6/3
x = 2
y = 2(3)-1
y = 5
If x2 + y2 = 14 and xy = 5, find the value of (1/2 x + 1/2 y)2.
Answer:
(½x+½y)²=6
Step-by-step explanation:
x^2 + y^2 = 14, xy=5
(A+B)^2=A^2 +2AB+B^2... (*)
(1/2x+1/2y)^2 =(*)
(1/2x)^2 +2(1/2x)(1/2y)+(1/2y)^2 =
1/4x^2 +1/2xy+1/4y^2=
1/4(x^2 +y^2) +1/2(xy)=
1/4*14+1/2*5=
14/4+5/2=
14/4+10/4=
24/4=6
let me know if I'm wrong.
( 1/2x +1/2y)²
= { ( x + y )/ 2xy }²
= ( x² + 2xy + y² )/4(xy)² —(1)
As we know that x² + y² = 14 — (2)
and xy = 5 —(3)
So, substitute the value of equation 2 and 3 in equation 1,
= ( x² + 2xy + y²)/4(xy)²
=( 14 + 2*5)/(4*5²)
= 24/(4*25)
= 6/25.
The value of 10^4 is 10,000. Use this fact to change 5.2 x 10^4 to standard notation. 5.2 x 10^4 = 5.2 x ____ =?
Step-by-step explanation:
5.2 × 10000
yep that is the answer
Answer:10,000. i think
Step-by-step explanation: Example: 104 = 10 × 10 × 10 × 10 = 10,000.
What is the surface area in square inches of a cube with a side 7
inches long?
10
Answer:
28
Step-by-step explanation:
7x4
Answer:
249 inches
Step-by-step explanation:
a cube is equal on all sides so if one side is 7 all sides are 7, if you multiply 7 by 7 you get 49 but that's just one face of the cube, there are 6 faces on a cube so 49 x 6 is 249
Guys can u please help i can explain it so i gotta send a photo i always give hearts and 5 stars :D the photo is down below
Answer:
5x cm
Step-by-step explanation:
Total length of AE = 2x + 3x
= 5x cm
How do you compare exponential functions??
I really don't understand, also giving brainliest!!
Answer:
You compare it by this
Step-by-step explanation:
Linear functions are graphed as straight lines while exponential functions are curved. Linear functions are typically in the form y = mx + b, which is used to discover the slope, or simply the change in y divided by the change in x, while exponential functions are typically in the form y = (1 + r) x.
Tom made $90 for 5 hours of work.
At the same rate, how many hours would he have to work to make $126?
7 Hours
Step-by-step explanation:
Very simple, 90/5 is 18, so that means Tom makes 18 dollars an hour, multiply 18 by 7 and you get 126.
(Thanks and Brainiest Appreciated)
If I have a 77 and i get 100 added to my grade what will my final score be?
Answer:
Most likely a B.
Step-by-step explanation:
This depends on how much the test was of your grade.
y = 2/5x -1/2 + y = -1/3x + 2/3 combine like terms
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Have a nice rest of your day
#Nova
Evaluate 1/4x+ 1/20 when x =1/5
Answer:
1/10
0.1
Step-by-step explanation:
Show how 12 is both a multiple of 4 and a factor of 48. Use words, drawings and symbols to explain your answer
Answer:
4x3=12
12x4=48
48/12=4
48/4=12
Step-by-step explanation:
Anne goes out to lunch every Friday. On average she spends around
$18 each time, How much money can she save in one year if she
stops going out for lunch each week?
Answer:
$936
Step-by-step explanation:
there are about 52 weeks in a year
18*52=936
Hope this helps!
4x+3y=16 x= -3 and y= -2 Solve the equation
Answer:
Is this question wrong?
Step-by-step explanation:
4x+3y=16
4(-3)+3(-2)=16
-12-6=16
-18=16
Amy contributes $50 per month into the Lincoln National Bond Fund that earns 7.26% annual interest.What is the value of Amy’s investment after 25 years?
Answer:
Inc Interest : $16,089
Step-by-step explanation:
1. Let's turn $50 a month into a year, so 50 * 12 = $600
2. Including the annual interest, which is $43.56 out of the $600
3. Add them together, which will be 43.56 + 600 = 643.56
4. Multiply it by 25 to get the full 25 years and you're done!
The value of Amy's investment after 25 years will be $140.75.
What is simple interest?Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest. The straightforward crediting of cash flows related to an investment or deposit is referred to as "simple" interest.
Given that, Amy contributes $50 per month to the Lincoln National Bond Fund which earns 7.26% annual interest.
The investment after 25 years will be calculated as,
SI = ( P x R x T)/100
SI = ( 50 x 7.26 x 25 ) / 100
SI = $90.75
The total investment will be calculated as,
A = $90.75 = $50
A = $140.75
Therefore, the value of Amy's investment after 25 years will be $140.75.
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What is the least common denominator (LCD) of 13 and 34?
Answer:
442
Step-by-step explanation:
Solve for a. -16-7a=5
Answer:
A = -3
Step-by-step explanation:
-16-7(-3)=5
3. The difference of two-thirds of a number x and
6 is at least -24. Which inequality represents all
possible values for x?
The inequality that represents all possible values for x is x ≥ -27.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The given statement can be written in terms of inequality as,
2/3x - 6 ≥ -24
=> 2/3x ≥ -24 + 6
=> 2/3x ≥ -18
=> x ≥ -27
Hence, the inequality expression for the given problem can be written as x ≥ -27.
To know more about linear inequality click on,
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Select the correct answer.
Which statement is true about the graph of this equation?
y + 4 = 4(x + 1)
A.
The graph is a line that goes through the points (1,-4) and (0,0).
B.
The graph is a line that goes through the points (1,4) and (2,8).
C.
The graph is a line that goes through the points (-4,-1) and (-3,-3).
D.
The graph is a line that goes through the points (4,1) and (5,5).
Answer:
A
Step-by-step explanation:
The graph is a line that goes through the points (1,-4) and (0,0)
Plz Help! A B C or D
Answer:
B
Step-by-step explanation:
go download symbolab and enter the quenstion it wil give you many help!
the angles of a triangle measure 4 degrees,86 degrees, and 90 degrees.
Answer:
It is a right angled triangle.
Step-by-step explanation:
Because it has 90° angle in it.
Hope it helps..!!<3
Factor the following Polynomial a) 6x - 18
A pair of pants that regularly costs $55 are on sale for 35% off the regular price. What is the sale price of the pants?
Answer:
$35.75
Step-by-step explanation:
100-35=65
.65 x 55 = 35.75
Answer:
$35.75
Step-by-step explanation:
35% converted to decimal is .35
55x.35= 19.25 the sale amount
$55 original price - $19.25sale = $35.75 sales price of pants.
negative2 - 7 is equvilent to
Answer:-5
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
-2 - 7
Picture a number line in your head, you begin at negative 2, which is less than 0 and you further go left 7 points, so you will end at -9
this is algebra 1 id appreciate it if you could help me thx!
Answer:
Option 4) y - 1 = -2(x - 0)
Step-by-step explanation:
Given the slope, m = -2, and the y-intercept, (0, 1):
Substitute these values into the following point-slope form:
y - y1 = m(x - x1)
y - 1 = -2(x - 0) ← This is the point-slope form given the slope, m = -2, and the y-intercept, (0, 1).
Therefore, the correct answer is Option 4: y - 1 = -2(x - 0)
What is the slope of this line?
5x(6x2 -3x4+7x3)-20 x3 -3_x4
Answer:
[tex]30x^3-15x^5+35x^4-43[/tex]
Step-by-step explanation:
[tex]30x^3-15x^5+35x^4-43[/tex]
Use the distributive rule and distribute 5x into the brackets. Then use the order of operation rule to do what is after the brackets.
It is a three-digit whole number.
It is divisible by 7.
It is divisible by 9.
It is divisible by 11.
It is divisible by 3.
It is not divisible by 5.
It is not divisible by 4.
It is not divisible by 6.
It is greater than 500.
It is an odd number.
Answer:
Do you have answer choices?
Step-by-step explanation:
Answer:
2079
Step-by-step explanation:
Which of the following represents the area of a rectangle whose length is x − 6 and whose width is x − 8? (1 point)
x2− 14x − 48
x2+ 48
x2− 48
x2− 14x + 48
Answer:
x²-14x+48
Step-by-step explanation:
Area= Length × Width
Area= x-6 × x-8
Area= (x-6)(x-8)
Area= x²-8x-6x+48
Area= x²-14x+48
Hope this helped you- have a good day bro cya)