Answer:
A = $1,871.77
Step-by-step explanation:
A = P(1 + r/n)nt
Where,
A = Total money in the bank
P = principal = $1,600
r = interest rate = 4% = 0.04
n = number of periods = 1 year
t = time = 4 years
A = P(1 + r/n)^nt
A = 1,600(1 + 0.04/1)^1*4
A = 1,600(1 + 0.04)^4
= 1600(1.04)^4
= 1600(1.16985856)
= 1,871.773696
Approximately,
A = $1,871.77
1. Write and solve an inequality that represents the number of months the center could
rent games from NetGames with its $175. Explain the solution in terms of the problem.
Solution :
Given that the Centre is signing up for a rental game service online rather than buying the game.
The monthly fees and the equipment cost of the two services that is the 'Anytime games' and the 'Netgames' are attached below.
Therefore, the inequality which represent the number that the center can rent the online games from the NetGames is :
175 - 8m ≥ 99
175 - 8m - 99 ≥ 99 - 99 (Subtracting 99 from both side of the inequality)
76 - 8m ≥ 0 (Simplify)
76 - 8m -76 ≥ 0 - 76 (Subtracting 76 from both side of the inequality)
- 8m ≥ - 76 (Simplify)
8m ≥ 76 (removing the minus sign form both sides)
[tex]$\frac{8m}{8} \geq\frac{76}{8}$[/tex] (Divide each side of the inequality by 8)
m ≥ 9.5
Evaluate the equation y=2x2 - 2x + 7 for x=-3
Answer:
31
Step-by-step explanation:
y=2x^2 - 2x + 7
Let x= -3
y=2(-3)^2 - 2(-3) + 7
=2 (9) +6 +7
= 18 +6+7
= 31
[tex]\tt{y = 2 {x}^{2} } - 2x + 7 \: ,when \: x \: = \: - 3[/tex]
Let's try![tex]\quad \quad \quad \quad \tt{y = 2 {x}^{2} } - 2x + 7[/tex]
[tex]\quad \quad \quad \quad \tt{y = 2 {( - 3)}^{2} } - 2( - 3)+ 7[/tex]
[tex]\quad \quad \quad \quad \tt{y = 2(9) +6 + 7}[/tex]
[tex]\quad \quad \quad \quad \tt{y = 18 +6 + 7}[/tex]
[tex]\quad \quad \quad \quad \tt{y = 24 + 7}[/tex]
[tex]\quad \quad \quad \quad \tt{y = 31}[/tex]
Hence, the answer is:[tex]\quad \quad \quad \quad \boxed{\tt{\color{green}y = 31}}[/tex]
_______
#LetsStudy
On my other question I posted I forgot to add the attachment, but uh please help down below 3
Answer:
6 crayons more
Step-by-step explanation:
At Dante's party, each child gets 192/16 = 12 crayons each
At Maria's party, each child gets 234/13 = 18 crayons each.
Therefore, each child at Maria's party gets 18-12 = 6 crayons more each than at Dante's party.
Answer:
answer is 6
Step-by-step explanation:
each child at Dante's party receive 192÷ 16 crayons, which is 12
each child at Maria's party receive 234÷ 13 crayons, which is 18
Select all the equations
represented by this tape diagram.
A. 6 + 6 + 6 + 6 + 6 = ?
B. 5 + 6 = ?
C. ? = 6.5
D. ? = 6.6.6.6.6
E. ? = 5 = 6
F.5 = ?= 6
Answer:
D.
is the correct answer
Find the surface area of a cone with volume 320pi and height 15 (hint: don't use the height in
the surface area formula.
Answer key :
Either 200 pi or 325 pi
Please help !!!
Answer:
200π
Step-by-step explanation:
Surface area of a cone = πr(r+l)
r is the radius
l is the slant height
Volume of the cone = 1/3πr²h
320π = 1/3πr²h
320 = 1/3r²(15)
320 = 5r²
r² = 320/5
r² = 64
r = 8
l² = 15² + 8²
l² = 225 + 64
l² = 289
l = 17
Get the surface area;
S = πr(r+l)
S = π8(8+17)
S = π*8*25
S = 200π
Hence the surface area of the cone is 200π
One year, the population of a city was 99,000. Several years later it was 82,170. Find the percent decrease.
did I choose the correct graph for the leading coefficient of -1/8?
Answer:
The correct graph is the second. The coefficient -1/8 indicates that the curve opens down.
Select the correct answer.
Evaluate the following expression when x = -4 and y = 4.
x6-x/4y
Answer:
[tex]{ \tt{ {x}^{6} - \frac{x}{4y} }} \\ = { \tt{ {( - 4)}^{6} - \frac{ - 4}{4(4)} }} \\ \\ { \tt{ = 4096 + 4}} \\ \\ = 4100[/tex]
The value of the equation ( x⁶ - x ) / 4y = 1025/4 when x = -4 and y = 4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = ( x⁶ - x ) / 4y be equation (1)
The value of x = -4
The value of y = 4
Substituting the values of x and y in equation (1) , we get
A = ( ( -4 )⁶ - ( -4 ) ) / ( 4 x 4 )
On simplifying the equation , we get
A = ( 4096 + 4 ) / 16
A = 4100 / 16
A = 1025 / 4
Therefore , the value of A is 1025/4
Hence , the value of the equation is 1025/4
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2x+3y=15
X+y=6
Simultaneously equations
Answer:
Step-by-step explanation:
Let's solve your system by substitution.
2x+3y=15;x+y=6
Rewrite equations:
x+y=6;2x+3y=15
Step: Solvex+y=6for x:
x+y=6
x+y+−y=6+−y(Add -y to both sides)
x=−y+6
Step: Substitute−y+6forxin2x+3y=15:
2x+3y=15
2(−y+6)+3y=15
y+12=15(Simplify both sides of the equation)
y+12+−12=15+−12(Add -12 to both sides)
y=3
Step: Substitute3foryinx=−y+6:
x=−y+6
x=−3+6
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=3
Answer:
x = 3, y = 3
Step-by-step explanation:
Given the 2 equations
2x + 3y = 15 → (1)
x + y = 6 → (2)
Multiplying 2) by - 2 and adding to (1) will eliminate x
- 2x - 2y = - 6 → (3)
Add (1) and (3) term by term to eliminate x
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(3) = 15
2x + 9 = 15 ( subtract 9 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Please help me.
The table below represents the closing prices of stock ABC for the last five
days. Using your calculator, what is the equation of linear regression that fits
these data?
Answer:
Step-by-step explanation:
I can tell you how to do this on your calculator, but I have no idea what kind of calculator you have and the methods are different for the various TI graphing calculators, so I'll just tell you that your answer is the last choice given. It's a terrible fit, but if the instructions say linear, the last choice is the equation that the calculator gives.
The regression equation for Y is: ŷ = -0.223X + 20.523
What is Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Sum of X = 15
Sum of Y = 99.27
Mean X = 3
Mean Y = 19.854
The sum of squares (SSX) = 10
The sum of products (SP) = -2.23
Regression Equation = ŷ = bX + a
b = SP/SSₓ = -2.23/10 = -0.223
a = My - bMₓ = 19.85 - (-0.22*3) = 20.523
ŷ = -0.223X + 20.523
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URGENT PLEASE HELP: Find the function h(x) = f(x) - g(x) if f(x) = 3^x and g(x) = 3^2x - 3^x.
h(x) = 0
h(x) = -3^2x
h(x) = 2(3^2x)
h(x) = 3^x(2 - 3^x)
Answer:
im pretty sure the correct answer is A. 0
Step-by-step explanation:
0dysseyware
Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.
• What score does Tyrone need in the fifth game so that his mean score is 125?
• Explain your reasoning or show all of your work.
Answer:
He should measure the length of the bowling alley using meters
Step-by-step explanation:
The score does Tyrone need in the fifth game so that his mean score is 125 is 168.
What is an arithmetic mean?
It is defined as the sum of all observations divided by the number of observations.
Given
Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.
[tex]\frac{120+123+105+109+x}{4+1} =125[/tex]
⇒ [tex]\frac{457+x}{4+1} =125[/tex]
⇒ [tex]\frac{457+x}{5} =125[/tex]
⇒ [tex]{457+x} =125[/tex] × [tex]5[/tex]
⇒ [tex]{457+x} =625[/tex]
⇒ [tex]x =625-457[/tex]
⇒ [tex]x =168[/tex]
Hence, the score does Tyrone need in the fifth game so that his mean score is 125 is 168.
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Express the fraction as the sum of two or more fractions with simpler denominators
4/(x-1)(x^2+1)
Write the log equation as an exponential equation. You do not need to solve for x:
log(x^2+5x-18)=x+2
Answer: 10ˣ⁺² = x² + 5x - 18
Step-by-step explanation: The base of the log becomes the base of the power, the right side of the equation becomes the exponent, and the result in the original equation moves to the other side.
Notice that we aren't given a base, so we know that we are
dealing with a common log which has a base of 10.
Find an equation for the graph shown.
Answer:
y=-sin(x)
Step-by-step explanation:
y=-sin(x)
what number does the 9 have least vaule
Answer:
The least value is 7.079 because it is in the thousandths place.
Work out the perimeter of this semicircle.
Take a to be 3.142
10 cm
Answer:
perimeter=1/2*2πr
Step-by-step explanation:
1/2*2*3.142*10
=31.42
POSSIBLE POIN
Based on records from the past several seasons the probability of the Madison Math Team winning a competition is p(win)-0.875
If they compete in 24 competitions, how many will they win?
Answer:
They will win 21 games
Step-by-step explanation:
Here, we want to get the number of possible wins
From the question, we have it that the probability that the team will win is 0.875
Now, out of the 24 games, we simply have to multiply their winning probability by the number of games
We have this as;
0.875 * 24 = 21
Hence, out of the 24, 21 will result in a win
Will mark brainliest
Answer:
350
Step-by-step explanation:
Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3
Answer:
512
Step-by-step explanation:
when q = 2, w = 3
4q(q + 3w)^2
= 4(2) ((2)+3(3))^2
= 512
"Darcie wants to crochet a minimum of 333 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal." pls help lol
Answer:
Ive seen this question before, its supposed to be 3 blancckets and 15 days can be skipped
Step-by-step explanation:
60-45= 15
15 times 3 is 45
The base salary of 500$ per week plus a commission of 10.5% of sales
Answer:
salary = $ 500 + 0.105 sales
Step-by-step explanation:
Weekly Income = 500 + 0.105S where S= weekly sales
in x, y math format that's
y=500+0.105x
Economics often uses Q for quantity and Y for income
so,
Y=500+0.105Q
Hope this answer helps you :)
Have a great day
Mark brainliest
The equation (x-7)^2 + (y - 6)^2 = 36 represents a Ferris wheel plan displayed on a grid, where each unit represents 1 meter. What is the diameter of the Ferris Wheel?
Answer:
[tex]12m[/tex]
Step-by-step explanation:
we are given a circle equation
[tex] \displaystyle (x - 7 {)}^{2} + (y - 6 {)}^{2} = 36[/tex]
since it's a circle equation where 36 is the square of the redious we can figure out redious by solving the following equation
[tex] \displaystyle {r}^{2} = 36[/tex]
square root both sides:
[tex] \displaystyle {r}^{} = 6[/tex]
remember that,
[tex]\displaystyle d = 2r[/tex]
thus substitute the value of r:
[tex]\displaystyle d = 2.6[/tex]
simplify multiplication:
[tex]\displaystyle d = 12[/tex]
hence,
the diameter of the Ferris Wheel is 12m
PLEASE PLEASE ANSWER ASAP THIS IS DUE TODAY AT 12:00 P.M.!!!!!!!
What is the median of the data set represented by the dot plot? Enter the answer in the box.
Answer:
5
Step-by-step explanation:
bc look at each end of the plot cross out each dot for each side and it should leave you to the last Colum aka 5
Answer:
The median is 5.
Step-by-step explanation:
First we need to take the data and make it into a set :
3, 3, 4, 5, 5, 5, 6, 8, 8.
These numbers are already in order, so now we find the median. The median is the number in the exact middle of the set. The number in the middle of the set is 5, so that is the median.
subtract 5x-7y+6 from 3x-4y-2
Answer:
[tex]2x−3y+8[/tex]
Step-by-step explanation:
[tex](5x−7y+6)−(3x−4y−2)[/tex]
[tex]5x−7y+6−(3x)−(−4y)−−2[/tex]
[tex]5x−7y+6−3x+4y+2[/tex]
[tex]2x−7y+6+4y+2[/tex]
[tex]2x−3y+6+2[/tex]
[tex]2x−3y+8[/tex]
Hope it is helpful...what is the smallest perimeter of area 12 cm can have?
edit: at cm there should have been a small 2 at the top but I forgot just pretend it's there pls.
Answer:
14
Step-by-step explanation:
area = lb
4*3 or 6*2 or 1*12
perimeter= 14,16,26
Is anyone good at Spanish ? I need help with Spanish homework. I’ll mark you brainliest
Answer:
...
Step-by-step explanation:
what help do you need ??
Solve simultaneous equation x-y=4 and x²+y²=10
Step-by-step explanation:
hear is your answer please check attachment
PLEASE HELP IM LITERALLY BEGGING YOU
Amanda pays $115.00 for shoes
that are 20% off at Everything Shoes.
At Best Footwear, the same shoes
are 15% off, which makes them cost
$7.00 less than their pre-sale price at
Everything Shoes.
What was the original cost for the
shoes at Best Footwear?
Answer:
Step-by-step explanation:
Everything Shoes:
E * 0.8 = 115
E = 115/.8 = $143.75
~~~~~~~~~~~~~~~~
B * 0.15 = 7
B = 7/.15
B = $46.67
A group of 42 monkeys meet in the forest for a swinging competition. The monkeys divide into teams with 8 monkeys on each team. They make as many teams as they can, but not every monkey is in a team. How many teams of monkeys will there be? Answer must be a whole number. How many monkeys remain without a team? Answer must be a whole number.
Answer:
the a answer is five
Step-by-step explanation:
divide 42 by 8 and round it it up to the closest whole number