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.
To learn more about compound interest, you can take a look at https://brainly.com/question/25781328
Answer:
He must invest $45,225
The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 m, find its length and width.
Answer:
20m
Step-by-step explanation:
let the length be x and the width be y
x = 4y
2x + 2y = 50
2(4y) + 2y = 50 ( since x = 4y )
8y + 2y = 50
10y = 50
y = 5m
x = 4y
x = 4(5)
x = 20
pls mark me the brainliest
10(x-2)+(6x-6)
Linear equations
Answer:
that's my answer
Step-by-step explanation:
16/60
please comment if I'm wrong
the sum of two consecurivenodd numbers is twenty four find the numbers
Answer:
the numbers are (11,13)
PLEASE HELP WILL MARK BRAINLIEST
Answer: (2, -15)
Step-by-step explanation:
Can any one explain this question worth points! plz explain if you can
Answer:
x = 31
Step-by-step explanation:
The given angles are supplementary and their sum is 180 degrees
5x - 16 + x + 10 = 180 add like terms
6x - 6 = 180 add 6 to both sides
6x = 186 divide both sides by 6
x = 31
Please help me π_π π_π
Lea worked for 3 hours 20 minutes and rested for 30 minutes. The she continued worked for 2 hours till 3.40 pm. What time did she start working?
Answer:
9.50 am
Step-by-step explanation:
3.40pm minus 2 hours = 1.40pm
1.40 minus 30 min = 1.10pm
1.10am minus 3 hours = 10.10am
10.10 am minus 20 min = 9.50 am
start at 9.50 .... works for3hrs and 20 min which ends at 1.10... 30min break which ends at 1.40...works for 2hrs that finally ends at 3.40pm
hope this helps☆☆☆
HELP PLS !!! IM IN A TESTT!
SOCCER Four soccer players are practicing a drill. Goalie A is facing Player B
to receive the ball. Goalie Athen turns tº to face Player A to pass her the ball. If
Goalie B is facing Player A to receive the ball, then through what angle
measure should Goalie B turn to pass the ball to Player B?
Answer:
x
Step-by-step explanation:
In a parallelogram opposite angles are equal, so if Goalie A angle is x, also Goalie B's will be x
The angle measure for Goalie B turn to pass the ball to Player B is given by the parallelogram and the angle is B = x°
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , the measure of Goalie A = x°
And , for a parallelogram
Opposite angles are congruent
So , the angle of Goalie B = angle of Goalie A
Substituting the values in the equation , we get
The angle for Goalie B = x°
Therefore , the value of B = x°
Hence , the opposite angle of parallelogram is x°
To learn more about parallelogram click :
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Solve for m.
√m-7 = n + 3
A. m = n 2 + 6n + 16
B. m = n 2 + 6n + 2
C. m = n 2 + 6n - 2
Answer:
A) m=n^2+6n+16
Step-by-step explanation:
sqrt(m-7)=n+3
m-7=(n+3)^2
m-7=(n+3)(n+3)
m-7=n^2+3n+3n+9
m-7=n^2+6n+9
m=n^2+6n+9+7
m=n^2+6n+16
PLEASE HELP FAST!!!
3
11
2
Which ordered pair is a solution to the system of linear equations 3 x- y- fo and x+By-to-
10?
O
12
o 5.3
21
o 35
21
3:5
SOMEONE PLS GIVE ME THE ANSWER AND NO FREAKING LINKS.
Calculate the distance between the points M=(-1,-2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.
Answer:
8.9443
Step-by-step explanation:
d = √((x2-x1)2 + (y2-y1)2)
Step by step procedure:
Find the difference between coordinates:
(x2-x1) = (-9 - -1) = -8
(y2-y1) = (2 - -2) = 4
Square the results and sum them up:
(-8)2 + (4)2 = 64 + 16 = 80
Now Find the square root and that's your result:
Exact solution: √80 = 4√5
Approximate solution: 8.9443
OMG PLS HURRY IN TEST!!
Select the correct answer.
Which graph represents this system of inequalities?
y > x + 3
y ≤ 5x − 1
Answer:
A is the correct answer!
Good luck on your test!
Answer: a
Step-by-step explanation:
An art teacher divided her students into two groups of equal size.
25 of the first group prefers acrylic paint over watercolor paint.
60% of the second group prefers acrylic paint over watercolor paint.
What fraction of the students prefers watercolor paint over acrylic paint?
Answer:
67.5% or 68%
Step-by-step explanation:
Say each group has 100 students. 25% of 100, is 25 students.
25 students of group 1 prefers acrylic. That leaves 75 students that prefer watercolor.
60% of group 2, or 60 students, prefer water color. That leave 40 students that prefer acrylic.
25+40=65
60+75=135
That is true, since there are 200 students in total.
Now set up a ratio, with watercolor over acrylic.
135:65
135 is 67.5% of 200.
I really don't know if that is a choice, so maybe 68%?
-hope it helps
Look at the question !
A farmer has 419 rows of corn. If he can get 573 ears of corn from each row, how many ears of corn would he have in total
Answer:
419x573=240,087 ears of corn
Step-by-step explanation:
What set of transformations could be applied to rectangle ABCD to create A″B″C″D″?
'Rectangle formed by ordered pairs A at negative 4, 2, B at negative 4, 1, C at negative 1, 1, D at negative 1, 2. The second rectangle is formed by ordered pairs A double prime at 2, negative 4, B double prime 1, negative 4, C double prime at 1, negative 1, D double prime at 2, negative 1.
A) Reflected over the x-axis and rotated 180°
B) Reflected over the y-axis and rotated 180°
C) Reflected over the x-axis and rotated 90° counterclockwise
D) Reflected over the y-axis and rotated 90° counterclockwise
Answer:
C) Reflected over the x-axis and rotated 90° counterclockwise
Step-by-step explanation:
Answer: Reflected over the x-axis and rotated 90° counterclockwise
Step-by-step explanation:
Took the test!
Answer number 7: Only number 7 please.
Answer:
C -7, 3
Step-by-step explanation:
Answer:
A (7, 3).
Step-by-step explanation:
( -7, -3) reflected over the x axis goes to the point (-7, 3)
(-7, 3) reflected across the y axis goes to (7, 3).
please I need help immediately
Answer:
Step-by-step explanation:
4x+6<= -54
4x <= -60
x <= -15 [The point -15 is included, so it must be a solid dot]
----------------
5x + 7 > -18
5x > -25
x > -5 [The point -5 is NOT included, so it should be an empty dot.]
Solution C seems the best.
find the value of x from the following figure
Answer: 70°
Oki so...
The corresponding angle in a transversal line cut by a parallel line is equal. So in this case, angle QSP is 110°
Line PSR is a straight line and a straight line angle is 180°
So, 180-110=70° (angle QSR)
Now that you know the two angle of the triangle is 40° and 70° and that a triangle is 180°
Simply, 180-(40+70)
This comes 70. So x is 70°
Find y such that the slope between (2, y) and (5, -3) is 7.
Answer:
y= -24
Step-by-step explanation:
since the slope is 7 the value of y should decrease as the value of x decreases. and since you went back 3 on the x, you should go down 21 on the y resulting in -3-21 which is -24
help with steps
questions on image
Answer:
24
Step-by-step explanation:
all odd numbers possible: 1, 3, 5, 7
__ __ __ __
there are 4 possibilities for the first blank
for the second blank there are 4-1 = 3 possibilities as one of the numbers will have been used
for the third blank there are 4-2 = 2 possibilities as 2 of the numbers have been used
for the last blank there is only 1 possibility
so the number of solutions possible is 4 x 3 x 2 x 1 = 24
through:(-3,-1), slope=4/3
Answer:
I need more info
Step-by-step explanation:
(-5, 10) (-5, 9) What is the slope?
Answer:
The slope is undefined.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-10)/(-5-(-5))
m=-1/(-5+5)
m=-1/0
undefined
Since the slope is undefined, this is a vertical line.
Answer:
undefined
Step-by-step explanation:
Ok, we will use the formula:
[tex]\frac{y^{2} -y^{1} }{x^{2} -x^{1} }[/tex]
The points (-5, 10) is our one, making -5 x1 and 10 y1
The points (-5, 9) is our two, making -5 x2 and 9 y2
now we add them into our formula
[tex]\frac{9-10}{-5-(-5)} = \frac{-1}{0}[/tex] = undefined
Hope this helps. Check with someone else to make sure. <3
I have no clue
Question 7
Answer: 27[tex]a^{-6}b^{3}[/tex]
Step-by-step explanation:
you can isolate the separate terms so you get
3^3 x a^(-2x3) x b^3 = 27 a^-6b^3
Helppppppppppp meeeeeeee
Answer:
itll be number 2
Step-by-step explanation:
Answer:
8 I thing is correct so check well you will get the correct answer
please help meeeeeeeeeeee....
ty
Answer:
y = 1/26x - 2
Step-by-step explanation:
Subtract x both sides
-26y = 52 + (-x)
Divide by -26 both sides
y = -2 + 1/26x
y = 1/26x - 2
hellllllllllllllllllllppppppppppppppppppppp
Answer:
Y-intercept: (0, -10)
X-intercepts: (5,0), (1,0)
Axis of symmetry: (3,0)
Step-by-step explanation:
You can tell what the y-intercept is by looking at the function. At the end there is a “-10”, which indicates that it’s the y-intercept.
There are many ways to find x-intercepts. You can factor the function, use the quadratic formula, or complete the square.
By factoring it, you get
-2(x-5)(x-1)=0
If one part of it equals zero, than the whole function equals zero.
So it can be split up like this
(x-5)=0
(x-1)=0
So...
x=5 and x=1 are the the zeros or (5,0) and (1,0)
Finally, you convert the function from standard form to vertex form. By doing -b/2a, you can find the x-coordinate of the vertex, which is the axis of symmetry. The answer is 3 or (3,0) because -12/2(-2)= 3.
5(x-2)-3= 5x-13
help me plz
Graph: y =
|x – 4| + 2
This is a photo of answer
Answer:
see attached
Step-by-step explanation:
The constants in the function shift the absolute value graph right 4 units and up 2 units. The attachment shows the translated function.
i need help with this problem, but i don't want someone to just give me the answer. i need it to be taught step-by-step to me because for some reason i can't understand how everyone tells me to do it. i need to learn this as I've been on this one test for the past 2 weeks. I've been trying to find a tutor or something that will actually help me the way i need to be helped. so please, just give me a simple answer that will help me with the 3 other questions after it.
the lesson name is called solving real world systems of equations via elimination.
here is the question:
jared bought 7 cans of paint. a can of red paint costs 3.75. a can of black paint costs 2.75. jared spent 22.25 in all. how many cans of black (b) and how many cans of red (r) did he buy?
r+b=7
3.75 + 2.75 = 22.25
this is a lesson in 8th grade math.
Answer:
Hallo, I will help you with the problem T^T
Step-by-step explanation:
3.75r + 2.75b = 22.25
3.75r = The amount a red can costs, MULTIPLIED BY the amount of red cans they bought!
2.75b = The amount a black can costs, MULTIPLIED BY the amount of black cans they bought!
So this means that they bought:
3 cans of red paint.
And 4 cans of black paint.
Now you may be thinking, how do you know?
If you multiply the COST 3.75, by 3 cans of red paint, you get 11.25
And then if you multiply the COST of the black paint (The cost for a can of black paint is 2.75) multiply that by 4, you get 11 :0
So add 11 + 11.25 and you get 22.25 :]
Comment if you have any questions, no matter how insignificant you think they may be, I will help you :]