Answer:
pv=z/(1+R)^N
Step-by-step explanation:
I hope this helps!!!
The present value of the payments over three years is $1600000.
Given that, the prize of lottery money is $1 million.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.
Now, P=$1,000,000, R=20% and T=3 years
So, S.I. = (1,000,000 × 20 × 3)/100
= 600000
Amount = 1,000,000+600000
= $1600000
Therefore, the present value of the payments over three years is $1600000.
To learn more about the simple interest visit:
https://brainly.com/question/25845758.
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johnny invests $9000 in two mutual funds
Answer:
$4500 each if he splits it eqaully
Step-by-step explanation:
9000÷2=4500
hope this helped (~‾▿‾)~
A recipe for biscuits says to mix 6 cups of flour with 2 cups of milk. How many cups of flour would you need for 3 cups of milk?
Answer:
9 cups of flour
Step-by-step explanation:
6 / 2 = 3
3 • 3 = 9
Can you help me please as soon as possible :)
Answer:
what r u finding the surface area or what?
Step-by-step explanation:
Answer:
1.) 36m 2.) 275cm
3.) 52m 4.)
Step-by-step explanation:
1.) First, I would multiply the triangles. The area for triangles is A=BxH/2.
So you would do 4mx3m=12m
12m/2= 6m but you're not done, you still have the rectangle. The area is A=LXW for the rectangle. So you would do 5m x 6m=30m. Finally, add. 30m + 6m= 36m
2.) Same thing as number one, but different numbers.
Triangle: 8cm x 10cm= 80cm
80cm/2= 40cm
Rectangle: 13cm x 15cm= 195cm
80cm + 195cm= 275cm
3.) Same as the last two except for it looks different and different numbers.
ignore the 5 to the left of the triangle.
3m x 8m= 24m
24m/2= 12m
5m x 9m= 40m
40m+12m= 52m
4.) I want you to try it first, then if not come back and ask. Hope it helps.
Write the slope-intercept from of the equation of the line described. Through (-2, -1) perpendicular to y = 1/4x
Step-by-step explanation:
Slope Intercept Form is "y = mx + b"
What it means?
"m" - slope
"b" - y intercept (0,b)
So, we are given the slope, but not the y intercept..
For now, lets fill in the slope.
y = 1/4x + b
We are given a coordinate pair (-2,-1)
Fill it into the equation and solve for b.
-1 = 0.25(-2) + b
-1 = -0.50 + b
- 0.50 = b
We now have the value of "B"
Fill in the rest of the equation:
y = 1/4x + -.50
^ I think that is correct, sorry if it's wrong.
Find the measure of the missing angle.
77°
Answer: The missing angle is 13°
Step-by-step explanation:
Let ∠B
be the missing angle.
Let ∠A
be the angle that measures
77∘Let ∠C
the right angle that measures
90∘
The following is true of all triangles:
∠A+∠B+∠C=180∘
Express the above equation as
∠B
in terms of the other angles:
∠B=180∘−∠A−∠C
Substitute the values for ∠A and ∠C
∠B=180∘−77∘−90∘
∠B=13∘
Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure? The base angles of an equilateral triangle have equal measure. If two sides of a triangle are equal, the third side must be equal to the others. If a triangle is equiangular, then it is equilateral. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.
Answer:
If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.
The fact which helps to prove the isosceles theorem is; The base angles of an equilateral triangle have equal measure.
Isoscelles triangleIsoscelles triangles in plane shape concept are characterized by two equal sides.
On this note, similarly in equilateral triangles, 2 sides are equal ( although, all sides of an equilateral triangle are equal).
Ultimately, the statement which helps to prove the isosceles triangle theorem is therefore; The base angles of an equilateral triangle have equal measure since all the two sides are equal as in isoscelles triangles too.
Read more on isoscelles triangle;
https://brainly.com/question/11884412
If X equals -5 which number line shows the value of X
Answer:
There is no picture or graph, if you put a graph or picture ill be able to answer it.
Step-by-step explanation:
A large bottle of orange juice contains 400 mL of juice. A medium size bottle contains 60% as much. Find how many millilters are in the medium bottle using the double number line.
Answer:
240 mL
Step-by-step explanation:
60% of 400 is 240 mL! Your Welcome!
Answer:
the answer would be 240
Step-by-step explanation:
you have to take the percentage and turn it into a decimal by dividing by 100 and that gets you .6 and then you have to time 400 by .6 and then you get your answer
a=4, b = 5, A = 16
Solve the Triangle
Triangle has two solutions: a=4; b=5; c=1.051 and a=4; b=5; c=8.561.
Extra: #1 Obtuse scalene triangle.
Sides: a = 4 b = 5 c = 1.051
Area: T = 0.724
Perimeter: p = 10.051
Semiperimeter: s = 5.026
Angle ∠ A = α = 16° = 0.279 rad
Angle ∠ B = β = 159.846° = 159°50'45″ = 2.79 rad
Angle ∠ C = γ = 4.154° = 4°9'15″ = 0.073 rad
Height: ha = 0.362
Height: hb = 0.29
Height: hc = 1.378
Median: ma = 3.009
Median: mb = 1.517
Median: mc = 4.497
Inradius: r = 0.144
Circumradius: R = 7.256
Vertex coordinates: A[1.051; 0] B[0; 0] C[-3.755; 1.378]
Centroid: CG[-0.901; 0.459]
Coordinates of the circumscribed circle: U[0.526; 7.237]
Coordinates of the inscribed circle: I[0.026; 0.144]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 164° = 0.279 rad
∠ B' = β' = 20.154° = 20°9'15″ = 2.79 rad
∠ C' = γ' = 175.846° = 175°50'45″ = 0.073 rad
If a farmer is able to get 120 eggs from 20 chickens, how many eggs is the farmer able to get per chicken?
Answer:
6 eggs per chicken
Step-by-step explanation:
hdjdjidbdudbddjow0s
Answer:
6
Step-by-step explanation:
The city bus provides transportation within a 4 mile radius of your house. How much of the city does your bus route cover?
A total of $5000 is invested: part at 5% and the remainder at 15%. How much is invested at each rate if the annual interest is $720?
Answer:
At 5% , $300 was invested
At 15%, $4,700 was invested
Step-by-step explanation:
Let the amount invested at 5% be $x and the amount invested at 15% be $y
x + y = 5000 ••••••(i)
Let’s work with the interest;
5% of x + 15% of y = 720
0.05x + 0.15y = 720 •••••(ii)
From i;
x = 5000-y
Insert this into ii
0.05(5000-y) + 0.15y = 720
= 250 - 0.05y + 0.15y = 720
250 + 0.1y = 720
0.1y = 720-250
0.1y = 470
y = 470/0.1
y = $4700
x = 5000-y
x = 5000-4700 = $300
What are two multiples of 6 between 40 and 50
Answer:
The two multiples are 42 and 48
6 times 7 is 42
and 6 times 8 is 48
Point R is the midpoint of KL. If KR = 7x - 10 and RL = 3x + 34, find KL.
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R is the midpoint of KL ;
Thus R bisects KL , which means :
[tex]KR = RL[/tex]
So :
[tex]7x - 10 = 3x + 34[/tex]
Add sides 10
[tex]7x - 10 + 10 = 3x + 34 + 10 \\ [/tex]
[tex]7x = 3x + 44[/tex]
Subtract sides 3x
[tex] - 3x + 7x = - 3x + 3x + 44[/tex]
[tex]4x = 44[/tex]
Divide sides by 4
[tex] \frac{4x}{4} = \frac{44}{4} \\ [/tex]
[tex]x = 11[/tex]
_________________________________
[tex]KL = KR + RL[/tex]
[tex]KL = (7x - 10) + (3x + 34)[/tex]
[tex]KL = (7 \times 11 - 10) + (3 \times 11 + 34) \\ [/tex]
[tex]KL = (77 - 10) + (33 + 34)[/tex]
[tex]KL = (67) + (67)[/tex]
[tex]KL = 60 + 7 + 60 + 7[/tex]
[tex]KL = 60 + 60 + 7 + 7[/tex]
[tex]KL = 120 + 14[/tex]
[tex]KL = 134[/tex]
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complete the statements,extra points!!! please don't answer if you don't know
Answer:
1. 0.08703 killograms
2. Decameters
3. Liters
Step-by-step explanation:
convert.
Which of these is equivalent to 3/8 x 5/6 Answer Correctly Or Dont Answer
A. 15/4
B. 16/5
C. 8/14
D. 8/48
In science class the ratio to girls to boys is 3 to 7.
If their are 50 students in the class, how many boys are there?
Answer:
15 boys
Step-by-step explanation:
7+3=10
10x5=50
there are 3 boys so
3x5=15
Answer:
35
Step-by-step explanation:
Assume 3x is the number of boys in the class.
And 7x as for the girls.
3x+7x=50
10x=50
x=5
Thus, 7*5=35 boys in the science class
Hope this is helpful!
Brielle’s piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80. If Brielle
has 66 nickels, write and solve a linear equation to find the number of dimes she has.
1. Eight people work in an office. They are paid hourly rates of 12£,15£,15£,14£,14£,13£,14£,13£
(a) Find: (i) the mean (ii) the median (iii) the mode.
change the fraction 2/5 to a percent
A. 25%
B. 40%
C. 7%
D. none none of these choices are correct
Answer: B
Step-by-step explanation:
A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 2500 seats. The students filled 66% of the seats in the theater. How many 6th graders went on the trip?
Answer:
1650
Step-by-step explanation:
66% = 66/100
66/100 times 2500 = 0.66 times 2500 = 1650
There were 1650 students
Find the area of the figure shown below. Use 3.14 for π and round your answer to the nearest hundredth.
Answer:
ans: 111.54
Step-by-step explanation:
u can simple do by multiple
Answer:
38.24
Step-by-step explanation:
Give the factors for the numerator [n] and denominator [d] after reducing.
Answer:
The factors for the numerator [n] and denominator [d] after reducing will be:
[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{x^2-25}{x^2-4x}\div \frac{2x^2+2x-40}{x^3-x}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{x^2-25}{x^2-4x}\times \frac{x^3-x}{2x^2+2x-40}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{\left(x^2-25\right)\left(x^3-x\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]
[tex]=\frac{\left(x^2-25\right)x\left(x^2-1\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:x[/tex]
[tex]=\frac{\left(x^2-25\right)\left(x^2-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]
∵ As factor [tex]\left(x^2-25\right)\left(x^2-1\right)=\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)[/tex]
so the expression becomes
[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]
∵ As factor [tex]2\left(x-4\right)\left(x^2+x-20\right)=2\left(x-4\right)^2\left(x+5\right)[/tex]
so the expression becomes
[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2\left(x+5\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:x+5[/tex]
[tex]=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
Therefore, the factors for the numerator [n] and denominator [d] after reducing will be:
[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
.............llllllllllllllllwwwwwwww
Answer:
wwwwwwwwwwwwwwwwwww
Write the slope-intercept form of the equation of the line described. Through (-2, -2) parallel to y = -2/7x -5
Answer: y= -2/7x-2
Step-by-step explanation:
To be parrell they have to have the same slope but different y intercepts.
so just put -2 so it will cross that point
Graph the line with the equation y=-1/4x+1
14 + w is the same as which expression?
Answer:
w+14,
Step-by-step explanation:
Ben is planning to sell cookies and popcorn for a school bake sale. He is selling cookies, c, for $0.75 each and popcorn, p, for $1.00 per
bag. Interpret the expression 0.75c+p
Pam drivers 14,735 miles in one year. The next year she drivers 13,869 miles. How many miles did she Drive in all?
Answer:28604 in total
Step-by-step explanation:
just copy and paste hope this helps
Answer:
28604 miles
Step-by-step explanation:
Just add the two numbers to get the total number of miles:
14735
+ 13869=
28604
arrangement the following in ascending order ; -5/7, -3/14, 4/7, -6/7
Answer:
-4/7-5/7-6/7-3/14 ascending order
Answer:
The sorted inputs in order from least to greatest is:
-6/7 < -5/7 < -3/14 < 4/7
Step-by-step explanation:
Given
-5/7, -3/14, 4/7, -6/7
The least common denominator (LCD) is: 14
Rewriting as equivalent fractions with the LCD:
-5/7 -3/14 4/7 -6/7
-10/14 -3/14 8/14 -12/14
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
-6/7 -5/7 -3/14 4/7
-12/14 < -10/14 < -3/14 < 8/14
Therefore, the sorted inputs in order from least to greatest is:
-6/7 < -5/7 < -3/14 < 4/7