Answer: (740)((1+0.0065)^132-1)/(0.0065)(1+0.0065)^132
Step-by-step explanation:
The value of the present value of the given is 65440.1194.
We have given that,
The following group of values was entered into the TVM Solver of graphing.
calculator. N = 132; 1% = 7.8; PV = ; PMT = - 740; FV = 0; P/Y = 12; C/Y = 12;
What is the formula for present value?[tex]PV=FV/(1+i)^n[/tex]
[tex]=\frac{740\left(\left(1+0.0065\right)^{132}-1\right)}{0.0065\left(1+0.0065\right)^{132}}[/tex]
[tex]=\frac{740\left(\left(1+0.0065\right)^{132}-1\right)}{0.0065\left(1+0.0065\right)^{132}}[/tex]
[tex]=\frac{1000.40602\dots }{0.0065\cdot \:1.0065^{132}}[/tex]
[tex]=65440.11940[/tex]
Therefore, The value of the present value of the given is 65440.1194.
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Find area of the figure :)
768 square meters.
We can break it down into two shapes, a rectangle and a triangle.
Rectangle:
[tex]a = b \times h[/tex]
[tex]a = (48) \times (11)[/tex]
[tex]a = 528m^{2} [/tex]
Triangle:
[tex]a = \frac{b \times h}{2} [/tex]
[tex]a = \frac{(48) \times (10)}{2} [/tex]
[tex]a = \frac{480}{2} [/tex]
[tex]a = 240m^{2} [/tex]
Add them together:
[tex]528m^{2} + 240m^{2} = 768m^{2} [/tex]
According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]
Compute the probability that a randomly selected peanut M&M is not yellow.
Compute the probability that a randomly selected peanut M&M is brown or red.
Compute the probability that three randomly selected peanut M&M’s are all brown.
If you randomly select three peanut M&M’s, compute that probability that none of them are blue.
If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
P(brown) = 12% = 0.12
P(Yellow) = 15% = 0.15
P(Red) = 12% = 0.12
P(blue) = 23% = 0.23
P(orange) = 23% = 0.23
P(green) = 15% = 0.15
A.) Compute the probability that a randomly selected peanut M&M is not yellow.
P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85
B.) Compute the probability that a randomly selected peanut M&M is brown or red.
P(Brown) or P(Red) :
0.12 + 0.12 = 0.24
C.) Compute the probability that three randomly selected peanut M&M’s are all brown.
P(brown) * P(brown) * P(brown)
0.12 * 0.12 * 0.12 =0.001728
D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.
P(3 blue)' = 1 - P(3 blue)
P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167
1 - P(3 blue) = 1 - 0.012167 = 0.987833
If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.
P(1 blue) + p(2 blue) + p(3 blue)
(0.23) + (0.23*0.23) + (0.23*0.23*0.23)
0.23 + 0.0529 + 0.012167
= 0.295067
a pizzeria had 4 cans of tomato sauce how many pizzas could they make with the cans if each pizza took one fourth of a can
Answer:
16 pizzas.
Step-by-step explanation:
That is 4 divided by 1/4
= 4 * 4/1
= 16.
Answer:
16
Step-by-step explanation:
There are 4 pizzas per can and you have 4 cans.
4 x 4 = 16
2x + 7 = 13
Please help
Answer:
x=3
Step-by-step explanation:
Hope this helps u..
Which coordinate pair is a solution of the linear
equation below?
-X + 3y = 21
Click on the correct answer.
(3,-8)
(-3,8)
(3,8)
Answer:
slope is 4/3 and y intercept is -7
Step-by-step explanation:
3y+21=4x.........now subtract 21 from each side
3y=4x-21......now divide all terms by 3
y=%284%2F3%29x-7......there ya go ...slope is 4/3 and y intercept is -7
Answer:
B (-3,8)
Step-by-step explanation:
awnser A is incorrect because if you switch out the x for 3 and the y for -8. The equation would look like -3+3×(-8)=21. and after multiplying 3×-8 which equals -24. The equation turns into -3+(-24)=21 . And after adding -3 and -24 you get -27=21
awnser B is correct because if you switch out the x for -3 and the y for 8. The equation would look like -3+3×8=21. After multiplying 3×8 which equals 24. The equation turns into -3+24=21. And after adding -3and 24 which is pretty much subtracting you get 21=21.
Best apologies if incorrect
Terry selected two cards. The sum of her card is -10. Can one of the cards be positive and the other be negative.
Is X=10 a solution to the following equation? Show work to justify your answer.
-7x + 50 = x - 10
Answer:
x= 7.5
(that should be the answer)
Step-by-step explanation:
-7x+50 = x-10
10+50 = x+7x
60= 8x
60/8 = x
7.5= x
Joe is the proud owner of Joe's Old Time BBQ Pit. He sells two types of BBQ sauce - Hot N' Spicy and Mild Mannered. Each gallon of Hot N' Spicy requires 2 quarts of tomato sauce and 2 cups of hot peppers. Each gallon of Mild Mannered requires 3 quarts of tomato sauce and 1 cup hot peppers. Joe makes a profit of $38 on each gallonof Hot N' Spicy and $35 profit on each gallon of Mild Mannered. He has 18 quarts of tomato sauce and 10 cups of hot peppers on hand. How many gallons of each type of BBQ sauce should he make to maximize his profits?
Answer:
P=$254
Step-by-step explanation:
let Hot N' Spicy be x
and Mild Mannered be y
the objective function is
38x+35y=P
the constraints are
1. tomato sauce
2x+3y=18--------1
2. hot peppers
2x+y=10--------2
solving 1 and 2 we have
using substitution method
2x+y=10--------2
y=10-2x
put y=10-2x in eqn 1
2x+3(10-2x)=18
2x+30-6x=18
2x-6x=18-30
-4x=-12
x=12/4
x=3
put x=3 in eqn 2 we have
2(3)+y=10
6+y=10
y=10-6
y=4
He should make 3 gallons of Hot N' Spicy
and 4 gallons Mild Mannered
38(3)+35(4)=P
114+140=P
254=P
P=$254
Gordon types 2,448 words in 36 minutes. Find the unit rate.
Answer: 68 words
Step-by-step explanation: 2448 / 36 = 68
Answer:
68 Words
Step-by-step explanation:
68 words in a minute if you divide 2448 by 36
Which of the following is equal to the opposite of −45?
−|45|
−|−45|
−(−45)
−45
Which of the following statements does not represent the same value as the others?
the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9
All of the following are true statements except _____.
|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93
If you move from zero to 15 on the number line, you are representing all of the following except _____.
the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15
All of the following expressions are equal to N except _____.
−(− N )
− N
| N |
|− N |
Answer:
The first one
Step-by-step explanation:
what are the steps we should follow to solve and equation
A dentist sees a patient every 20 minutes. He works an average of 60 hours per week. How many patients does he see in a year. He takes 3 weeks vacation. Round your answer down.
Answer:
1040
Step-by-step explanation:
(-1) + (-1) + (-1) + (-1) + ... 500 times =
(a) 500
(b) 1
(c) -1
(d) -500
Answer:
D
Step-by-step explanation:
(-1) + (-1) = -2... so 500 times... it would be -500.
Martha earns $24 in four hours. How much would she
earn in 10 hours?
Answer:
$60
Step-by-step explanation:
24/4=6
6*10=60
Answer:
$60
Step-by-step explanation:
24 ÷ 4 = 6
6 × 10 = 24
she makes $6 an hour. $60 in ten hours.
Ellie the elephant has some peanuts. She eats up 49 peanuts. Now Ellie the elephant has 31 peanuts. How many peanuts did she have before?
Answer:
80
Step-by-step explanation:
do: 49+31=Your answer
Ellie had 80 peanuts before she ate 49 of them.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the number of peanuts Ellie had before she ate 49 of them.
After eating 49 peanuts, Ellie has 31 peanuts left, so we can write an equation:
x - 49 = 31
To solve for x, we add 49 to both sides of the equation:
x - 49 + 49 = 31 + 49
Simplifying, we get:
x = 80
Therefore, Ellie had 80 peanuts before she ate 49 of them.
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What is m<KNL?
Enter your answer in the box
The measurement of ∠KNL is 102°
First, you must set up an equation to find x.
[tex]5x+2=[3(x+14)[/tex]
Then, you must simplify both sides of the equation.
[tex]5x+2=3x+42[/tex]
Next, subtract 3x on both sides.
[tex]2x+2=42[/tex]
Then, subtract 2 on each side.
[tex]2x=40[/tex]
Next, divide 2 on each side.
[tex]x=20[/tex]
Now that we have the value of x, we can substitute it in for angle KNL.
[tex][3(20+14)][/tex]
[tex][3(34)][/tex]
[tex]102[/tex]
[tex]102[/tex]°
(x-3) (x2+2x+1)
Foil method
Step-by-step explanation:
(x-3)(x^2+2x+1)
=x^3-3x^2+2x^2-6x+x-3
=x^3+2x^2-3x^2-6x+x-3
=x^3-x^2-5x-3
___________
Simplify this expression
(6 x 2) + 8 - (40 - 4 x 5)
8 Simplify this expression:
30
12
Answer:
the first one, if you solved it using the calculator, the answer will be 0
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P0 has doubled in 5 years. Suppose it is known that the population is 9,000 after 3 years.
Required:
a, What was the initial population P0?
b. How fast is the population growing at t = 10?
Step-by-step explanation:
Let the initial population of a community be P0 and the population after time t is P(t).
If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:
[tex]P(t) = P_0e^{kt}[/tex]
at t = 5 years, P(t) = 2P0
substitute:
[tex]2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386[/tex]
If the population is 9,000 after 3 years
at t = 3, P(t) = 9000
a) Substitute into the formula to get P0
[tex]9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24[/tex]
Hence the initial population is approximately 5938.
b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:
[tex]P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97[/tex]
Hence the population of the community after 10 years is approximately 23,746
ANSWER ONE PLS :(
Beyonce’s fish tank holds 180 gallons of water and is leaking at a rate of 8 gallons per day. Jay Z’s fish tank holds 160 gallons of water and is leaking at a rate of 6 gallons per day. At how many days will the two fish tanks have the same amount of water in them?
Justin Bieber’s sand castle is 180cm tall but the wind is blowing away sand at a rate of 8cm per minute. Taylor Swift’s sand castle is 160cm tall and she it adding sand to it at a rate of 6cm per minute. After how many minutes will their sand castles be the same height?
Answers:
1) 160 + 8x = 180 + 6x
2) 160 + 6x = 180 - 8x
The fish tank problem:
x = # of days
180 - 8x = 160 - 6x
Add 8x to both sides and subtract 160 from both sides.
20 = 2x
Divide both sides by 2
10 = x
It will take 10 days for the fish tanks to have the same amount of water in them.
The sand castle problem:
x = # of minutes.
180 - 8x = 160 + 6x
Add 8x to both sides and subtract 160 from both sides.
20 = 14x
Divide both sides by 14
x = 10/7 mins
After 10/7 mins their sand castles will be the same height
7) Order the numbers from least to greatest.
A. 6.66
B. 6.07
C. 7
D. 6.32
the Answear is B,D,A,C
Plz help i only need c im confused lol 6th grade history
Answer:
War
Step-by-step explanation:
Criminals
Convert 2 days into months. Round your answer to the nearest hundredth.
Answer:
0.0657534
Step-by-step explanation:
divide 2 by 30.417
I need help with this ASAP !! I’m failing !!!
Answer:
c=130,b=50
Step-by-step explanation:
[tex]c = 180 - 50 = 130[/tex]
[tex]b = 180 - 130 = 50[/tex]
i think this is the answer
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
<b and 50° are vertical angles so that means they are congruent. So that means <b is 50.
<c and 50° are supplementary angles which means when you add them you should get 180. So if do 180 - 50 we will get 130. So that means <c is 130°.
How many pounds are in 80 kilograms? Round your answer to the nearest whole number. Note: There are approximately 2.2lbs in a kg.
Answer:
176.37 orrrr 176
Step-by-step explanation:
Answer:
176 pounds
Step-by-step explanation:
If a polygon is a pentagon, then it has 5 sides hypothesis conclusion
Answer:
Hypothesis
Step-by-step explanation:
a polygon has five sides Conclusion: it is a pentagon If a polygon has five sides, then it is a pentagon.
hope this helps
Which point represents the opposite of –2?
A number line going from negative 5 to positive 5. Point A is at negative 2, point B is between negative 1 and 0, point C is between 0 and 1, and point D is at 2.
A
B
C
D
Answer:
Point D
Point D is at 2, the absolute value of -2.
2 is the opposite of -2, and D is at 2.
So, the answer must be option D.
Hope this helps!
Answer:
d
Step-by-step explanation:
The 5 members of the
Jackson family went
to a hockey game.
They paid $20 for
snacks. In all, the
tickets cost 4 times
the cost of the snacks.
How much did a
single ticket cost?
Answer:
16
Step-by-step explanation:
80 divide by 5 is 16
Use substitution to solve the following systems of equations:
-3x -4y = 2
5x + 5y = -5
O (4,3)
O (-3, 2)
O (3, 2)
O (-2, 1)
what is the rectangular prism of 2 units and 7 1/3
Answer:
it could be 14 2/6 units squared
Step-by-step explanation:
idkI don’t know but for area is units squared and for volume it has units cubed