Approximately how much principal would need to be placed into an account earning 1.58% interest compounded monthly so that it has an accumulated value of $90,597 at the end of 25 years?
Answer:
The initial investment is $821.58
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $90,597
Number of periods (n)= 25*12= 300
Interest rate (i)= 1.58% = 0.0158
To calculate the initial investment, we need to use the following present value (PV) formula:
PV= FV/(1+i)^n
PV= 90,597 / (1.0158^300)
PV= $821.58
The initial investment is $821.58
When x=1, find the value of y
1) -3
2) -1
3)1
4)-4
Answer:
y = -3
Step-by-step explanation:
The equation of the line is y = -x -2
We plug in the given x value into the equation to find y.
y = -(1) - 2
Simplify.
y = -3
You are playing a board game with your little sister. Moves are determined by rolling 2 six-sided dice. The red die tells you the direction of your move, and has 4 faces
that say "forward and 2 faces that say backward." The green die tells you how far to move, and has 1. 1. 2.2.3, and 4 on the faces. On your turn, what is the
probability that you move backward 2 spaces
Answer: The probability is 1/9.
Step-by-step explanation:
First, let's define the possible outcomes of each dice:
Red: Forward (4 times), Backward (2 times)
Green : {1, 1, 2, 2, 3, 4}
We want to find the probability of moving backward 2 spaces.
Then we need to find the probability of rolling a "backward" in the red dice, and a 2 in the green dice.
First, the probability of rolling a backward in the red dice is equal to the quotient between the number of outcomes that are "backward", and the total number of outcomes in the dice (there are 2 backwards and 6 outcomes in total), this is:
p1 = 2/6 = 1/3.
And the probability of rolling a 2 in the green dice is equal to the quotient between the number of outcomes with a 2, and the total number of outcomes. (The 2 appears two times, and there are 6 possible outcomes):
p2 = 2/6 = 1/3.
Now, the probability of both events happening at the same time is equal to the product of the individual probabilities, then the probability of moving backwards 2 spaces is:
P = p1*p2 = (1/3)*(1/3) = 1/9.
Arunner jogs 2 mi 120.3 yd. how far does the runner jog in meters?
round your answer to the nearest tenth of a meter.
conversion ratios:
1 m = 3.3 ft
3 ft = 1 yd
5,280 ft = 1 mi
1,760 yd = 1 mi
?
Answer:
To the nearest tenth of a meter, this is 3,309.4 m
Step-by-step explanation:
Here, we want to convert the jogging distance to meters only
we have 2 miles 120.3 yards
5,280 ft = 1 mile
2 miles will be 5,280 * 2 = 10,560 ft
3 ft = 1 yard
x ft = 120.3 yards
x = 120.3 * 3 = 360.9 ft
Adding both together to give ft only, we have
360.9 + 10,560 = 10,920.9 ft
1 m = 3.3 ft
x m = 10,920.9 ft
x = 10,920.9/3.3
x = 3,309.363636363636
To the nearest tenth of a meter, this is 3,309.4 m
please help, this is honors geometry, I need this done as soon as possible
Answer:
See Explanation
Step-by-step explanation:
Since both the arcs centered at A and B are drawn as radius AB.
Therefore, AB = BC = AC
So, triangle ABC will be an equilateral triangle.
Since, AB = 5 CM
THEREFORE,
AC = 5 CM
BC = 5CM
Measure of each angle of equilateral triangle is 60°
Therefore,
Angle A = 60°
Angle B = 60°
Angle C = 60°
Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank.
Given g ( x ) = 2 x + 3 , solve for x when g(x)=3.
Answer:
x = 0
Step by step explanation:
g ( x ) = 2x + 3
If x = 0,
g ( 0 ) = 2 (0) + 3
or, g ( 0 ) = 3
Hope that helped :)
RT and UW are parallel lines. Which angles are vertical angles? help asap
Answer:
139 degrees
Step-by-step explanation:
In the figure tw =3x+5 wx =10 and tx =5x-9
Answer:
Value of x = 12 unit
Step-by-step explanation:
Given:
tw = 3x+5
wx = 10
tx = 5x-9
Find:
Value of x
Computation:
tw + wx = tx
3x + 5 + 10 = 5x - 9
3x + 15 = 5x - 9
2x = 24
x = 12
Value of x = 12 unit
Insert a rational number between 1/2 and 1/3 by mean method?
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
To find a rational number by the mean method.
Add the 2 fractions and divide the result by 2
[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{3}[/tex]
To add the fractions we require them to have a common denominator.
The LCM of 2 and 3 is 6 ← required common denominator
Multiply numerator/denominator of first fraction by 3
Multiply numerator/denominator of second fraction by 2
= [tex]\frac{1(3)}{2(3)}[/tex] + [tex]\frac{1(2)}{3(2)}[/tex]
= [tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] ( add numerators, leaving denominator )
= [tex]\frac{5}{6}[/tex]
Now divide by 2
[tex]\frac{5}{6}[/tex] ÷ 2 leave first, change division to multiplication, turn second upside down )
= [tex]\frac{5}{6}[/tex] × [tex]\frac{1}{2}[/tex]
= [tex]\frac{5}{12}[/tex]
This is the fraction midway between the 2 given fractions
There are 76 people signed up for a speedboat tour. Each speedboat can transfer 9 people. How many speedboats will be needed for the people who signed up?
Given:
Total number of people who signed up = 76
Each boat can transfer = 9 peoples
To find:
The number of boats required.
Solution:
We know that,
[tex]\text{Required number of boats}=\dfrac{\text{Total number of peoples}}{\text{Number of peoples transferred by each boat}}[/tex]
On substituting the values, we get
[tex]\text{Required number of boats}=\dfrac{76}{9}[/tex]
[tex]\text{Required number of boats}=8.44...[/tex]
Number of required boats must be a whole number. So, approximate the data to the next whole number.
[tex]\text{Required number of boats}=9[/tex]
Therefore, the required number of boats is 9.
F(x)=-4x^2+10x-8
What is the value of the discriminating of f
Answer:
f(x)=-4x^2+10x-8
Step-by-step explanation:
well x normally equals 1 so replace all X's with 1 and solve
4*1=4 to the power of 2 is 16
10*1=10 subtract 8 equals 2 so
16-2= 14
F(x) is 14
the Y would be 14
Answer:
Here are Both Anwsers
Step-by-step explanation:
Marissa is purchasing holiday hams and turkeys for her employees. If she buys 15 hams and 10 turkeys, her total cost will be $719.75. If she buys 17 hams and 8 turkeys, it will cost her $705.75. How much is each ham?
How much is each turkey?
Answer:
turkey=$32.786
ham=$26.086
Answer:
I believe that each turkey would be 47.94$ for each piece And the ham would be 41.51$ for each piece.
Step-by-step explanation:
Hope this helps!
Which of the following shows 7.538 correctly rounded to the ones place?
8.038
8
7
7.5
A line passes through the points (P, a) and (P, –a) where P and A are real numbers and P does not equal 0. Describe each of the following. Explain your reasoning.
1. slope of the line
2. equation of the line
3. y-intercept
4. slope of a line perpendicular to the given line
9514 1404 393
Answer:
undefinedx = Pdoes not exist0Step-by-step explanation:
2. The x-value of the given points is the same, so the points both lie on the vertical line ...
x = P
__
1. The slope of a vertical line is "undefined".
__
3. Given that P ≠ 0, the vertical line is parallel to the y-axis, so there is no y-intercept.
__
4. A line perpendicular to a vertical line will be horizontal. A horizontal line has a slope equal to zero.
What is the slope of a line that passes through these points? (5, 3) and (4, 1).
9514 1404 393
Answer:
2
Step-by-step explanation:
The slope can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (1 -3)/(4 -5) = -2/-1
m = 2
The slope of the line is 2.
Answer:
2
Step-by-step explanation:
ΔY = 1 – 3 = -2
ΔX = 4 – 5 = -1
two negatives make a positive
Find the area of the triangle.
Answer:
1325 yd²Step-by-step explanation:
Area formula
A = 1/2bhGiven
b = 53 yd, h = 50 ydThen the area is:
A = 1/2(53)(50) = 1325 yd²1
o
2
3
4
5
6
7
8
9
10
Which of the following could be the number shown on the number line?
A. 172
B. V 79
C.
82
D. 63
Answer:
A
Step-by-step explanation:
8.5 x 8.5= 72.25
so basically it's the closest answer
Last one pls help me
Answer:
√89
Step-by-step explanation:
I assume you have to find the short cut, right?
5² + 8² = 25 + 64 = 89 = ( √89 )²
Explain why 20 is not a square number.
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 20 is about 4.472. Thus, the square root of 20 is not an integer, and therefore 20 is not a square number.
The reason why 20 is not a square number is because it's square root is not an integer.
Why is 20 not a square number?It follows from the task content that we explain why 20 is not a square number.
First, a square number is one whose square root is an integer. Hence, such a number is a perfect square.
On this note, 20 is not a square number because it's square root is not an integer.
Read more on perfect squares;
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A chess Club with 80 members is electing a new president. Yoko received 72 votes. What percentage of club members voted for Yoko?
Answer:
90%
Step-by-step explanation:
You can make the votes simple by dividing 8 on 80 and 72
80 becomes 10
72 becomes 9
You can do this because we done the same thing to both sides
now it is Yoko got 9 out of 10 and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote
Answer:
90%
Step-by-step explanation:
You can make the votes simple by dividing 8 on 80 and 72
80 becomes 10
72 becomes 9
You can do this because we done the same thing to both sides
now it is Yoko got 9 out of 10
and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote
Hope this helps!
Anna needs to save $85 for a yoga class. She has already saved $42. How much more does Anna need to save?
Answer:
She needs to save $43more dollars for the yoga class.
Step-by-step explanation:
You subtract 42 from 85 to get the difference.
Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.
Given:
Polynomial is [tex]3x^2+15x-56[/tex].
To find:
The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.
Solution:
The sum of given polynomial and the square of the binomial (x-8) is
[tex]3x^2+15x-56+(x-8)^2[/tex]
[tex]=3x^2+15x-56+x^2-2(x)(8)+8^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]=3x^2+15x-56+x^2-16x+64[/tex]
On combining like terms, we get
[tex]=(3x^2+x^2)+(15x-16x)+(-56+64)[/tex]
[tex]=4x^2-x+8[/tex]
Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is [tex]4x^2-x+8[/tex].
Scott bought three bags of candy with 75 pieces in each one. He plans to divide all the candy evenly among seven friends. How many pieces of candy will Scott have left for himself?
Answer:
he will have 28 pieces
Step-by-step explanation:
75*3=250
250/8=28
find the intercepts or the line that corresponds to the table of values.
I have a photo to go with it :)
an equation of the line that passes through (0, 5) and (−1.5, 1).
Answer:
The answer is y=8/3x+5
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=1-5/(-1.5)-0
m=-4/-1.5
m=8/3
y-y=m(x-x1)
y-5=8/3(x-0)
y-5=8/3x-0
+5 +5
y=8/3x+5
2. Which of the values of x below will result in lines m and n being parallel?
(1) 41
(3) 20
6x + 14
m
(2) 5
(4) 27
1340
n
REASONING
С.
3
In the diagram shown below, ABC and AABFABCD.
Answer:
x= 16/3 now change in mixed fractions
no 2
For the value of x =20 will result in lines m and n being parallel
What is Straight line?a line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects, though they may exist in two, three, or higher dimension spaces.
In the given figure, we need to find the value of x which makes the lines m and n are parallel.
parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.
In the given figure we have two angles 6x+14 and 134.
We need to equate these to find the value of x.
6x+14=134
Subtract 14 from both sides
6x=134-14
6x=120
Divide both sides by 6
x=20
Hence for the value of x =20 will result in lines m and n being parallel
To learn more on Straight lines click:
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find three consecutive numbers whose sum is 84
Answer:
three consecutive numbers that add up to 84 are 27,28 and 29
Step-by-step explanation:
27+28=55
55+29-=84
please complete it (picture)
Answer:
1a. 250
1b. 140
2a. 2530
2b. 250
Step-by-step explanation:
HELP PLS LOL !!!!!!!!!!!!!!
Answer:
try 137
Step-by-step explanation:
it may be congruent since they're parallel