Answer:
The interest on the investment is $16,170.93811
Step-by-step explanation:
The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the new valueP is the initial valuer is the rate in decimaln is the number of periods in timet is the time∵ The investment is $45,000
∴ P = 45,000
∵ The interest on the investment is compounded annually at 5.25%
∴ r = 5.25% = 5.25 ÷ 100
∴ r = 0.0525
∴ n = 1 ⇒ compound annually
∵ It is for 6 years
∴ t = 6
→ Substitute them in the rule above
∵ [tex]A=45,000(1+\frac{0.0525}{1})^{1(6)}[/tex]
∴ [tex]A=45,000(1.0525)^{6}[/tex]
∴ A = 61,170.93811
∵ I = A - P, where I is the interest
∴ I = 61,170.93811 - 45,000
∴ I = 16,170.93811
∴ The interest on the investment is $16,170.93811
Smith & Johnson produces a variety of men’s clothing. Their highest selling items are their fitted dress shirts. The profit earned from the sale of these shirts can be modeled by the expression -20x2+1,800x, where x is the price of one dress shirt. If p is the maximum profit earned from the sale of the dress shirts, write an equation that shows how the expression can be rewritten to model the price at which the shirts should be set in order to maximize profit.
Answer:
P=x(-x+90)Step-by-step explanation:
Step one:
given
Price
[tex]P= -20x^2+1800x[/tex]
where P is the maximum profit
x is the price of one shirt
Step two:
To rewrite the expression let us first divide through by 20
[tex]P= \frac{-20x^2}{20} +\frac{1800x }{20}\\\\P=-x^2+90x[/tex]
Factoring x out we have
[tex]P=-x^2+90x\\\\P=x(-x+90)[/tex]
Hence the rewritten expression equation for the price is
P=x(-x+90)
In the picture lines A B and CD are parallel. Find the measures of the following angles. Explain your
reasoning.
1. ZBCD
2. ZECF
3. ZDCF
23 more than twice a number
Answer:
2x +23
Step-by-step explanation:
Let the required number be x
Twice of number = 2x
23 more than twice a number = 2x + 23
Answer:
2x + 23
Step-by-step explanation:
Let x be the number
Twice a number = 2x23 more than twice a number = 2x + 23I hope this helps!
EQUATIONS AND INEC
Worked examples
a) Solve these simultaneous equation by eliminating by subtraction.
5a + 2b = 16 equation 1
3a + 2b = 12 equation 2
Answer:
a=2 and b=3
Step-by-step explanation:
5(2) +2(3) = 10 +6 =16
3(2) + 2(3) = 12
Find the sum by suitable rearrangement 163+432+237+548
Answer:1380
Step-by-step explanation:
Can someone help explain how I get the answer for this? S=R-rR solve for R
Answer:
s/(1-r)=R
Step-by-step explanation:
S=R-rR
S=R(1-r)
s/(1-r)=R
HELLLLPPPP MEEE PLZZZ!!!!
Natalie and Phil ran for 6th grade class president. The ratio of votes for Natalie to votes for Phil was 4:3.
Which statement is true?
For every vote Phil received, Natalie received 4 votes.
For every vote Phil received, Natalie received 4 votes.
For every vote Phil received, Natalie received 3 votes.
For every vote Phil received, Natalie received 3 votes.
For every 4 votes Natalie received, Phil received 7 votes.
For every 4 votes Natalie received, Phil received 7 votes.
For every 4 votes Natalie received, Phil received 3 votes.
For every 4 votes Natalie received, Phil received 3 votes.
Answer:
tyuklgfdzrxtiyku,j mncihknbjhtu
Step-by-step explanation:
hey will give brainiest if correct
3 inches i agree too 2020
Drag the two ordered pairs that are 5.5 units apart.
(-3, -3.5)
(-1.5, 2)
(-1.5, 2.5)
(5, 1.5) (5, -3.5)
(-1.5, -3.5)
Answer: (-1.5, 2) and (-1.5, -3.5)
Step-by-step explanation:
The distance between two points (a, b) and (c, d) is:
D = √( (a - c)^2 + (b - d)^2)
A simpler case, is when we have two points where one of the components is the same for both of them, like:
(a, b) and (a, c)
Then the distance will be:
D = √( (a - a)^2 + (b - c)^2 ) = Ib - cI
Then we need to look for points that have an equal component, and the difference between the other two components is exactly 5.5
The solution will be:
(-1.5, 2) and (-1.5, -3.5)
Where the x-component is the same in both of them, then the distance will be:
D = I2 - (-3.5)I = I2 + 3.5I = 5.5
QUESTION OF THE DAY: Judy is recreating a small version of the Statue of Liberty out of clay. The scale for the statue is 3 inches to 100 feet. If the actual height of the statue is 305 feet, what would the height of the model be in inches?
Answer:
184in
Step-by-step explanation:
Since the scale for the statue is 3 inches to 100 feet, we can say 3:100 as a ratio.
To find approximately 305 feet you must divide 305 by 100.
100 can go into 300 evenly 3 times. Since the ratio is 3:100 you should multiply how many times the 100ft fit into the 300ft and the 3in (3 x 3) which is about 9in.
One way we can do this is to divide the hight of the Statue by the model height:
305ft 20in = 15.25ft 1in or 184in (12in per foot).
And so for every inch of the model, it represents 15.25 feet.
For 305 it would be
factor 7x+35 PLEASE HELP
Answer:
7(x+5)
Step-by-step explanation:
The greatest common factor is 7
7*x + 7*5
Factor out the 7
7(x+5)
The radius of a circle is 16.7 in. Find the circumference to the nearest tenth.
The circumference of the circle is 105 in to the nearest tenth.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
We are given that the radius of a circle is 16.7 in.
We need to determine the circumference to the nearest tenth.
Radius r = 16.7
Then circumference of the circle = 2πr
= 2 x 3.14 x 16.7
= 104.87
Therefore, the circumference of the circle is 105.
Learn more about circumference here;
brainly.com/question/12512221
#SPJ2
How many 2.25-pound containers can you fill with 24.75 pounds of almonds?
Answer:
You can fill 11 containers.
Step-by-step explanation:
This problem is asking you to divide 24.75 pounds among 2.25 pound holding containers.
So all you must do is divide 2.25 by 24.75. This leaves us with a quotient of 11.
Which of the following is equivalent to 4x-3y=15
A.4/3x-5
B.-4/3x+5
C.4/3x+15
D.3/4x-5
Answer:
the answer is A
Step-by-step explanation:
A = 4/3x-5
Answer:
Step-by-step explanation:
B
4x-12=12-4x I need help solving Multi Step Equations, which variables on both sides.
Answer:
x= 3
Step-by-step explanation:
4x+ 4 x= 12 + 12
8x = 24
x= 24/8
x= 3
Two bags of bird seed are used to fill these three bird feeders. How much bird seed does each feeder use? Represent the situation using the model. Then solve
Step-by-step explanation:
If two bags of bird seed are used to fill these three bird feeders, then we can say that;
2 bags of bird seed = 3 bird feeders
To know the amount of bird seed that each feeder use, we will say;
x bags of bird seed = 1 bird feeder
Equating both postulates and solving
2 bags of bird seed = 3 bird feeders
x bags of bird seed = 1 bird feeder
Cross multiply
3 * x = 2 * 1
3x = 2
subtract 2 from both sides
3x - 2 = 2-2
3x - 2 = 0
Hence model that represents the situation us 3x - 2 = 0 where x is the number of bird seed that each feeder use.
Next is to solve for x;
3x - 2 = 0
3x = 2
x = 2/3
Hence each feeder used 2/3 bird seed
5. Jordan works at the car wash a few hours a week and works mowing lawns for extra money.
Because of his schoolwork, he can't work more than 10 hours per week. Write a rule to see possible
solutions for his work schedule. Let x represent hours at the car wash, and y represent the hours
mowing lawns.
Answer:
The rule is
x + y ≤ 10
Step-by-step explanation:
Here, we want to write a rule that can help get solutions for the individual work hours
The number of hours for car wash is x while the number of hours for mowing lawns is y
Since he cannot work more than 10 hours, he can still work less than 10 hours
What we just have is that the addition of both working hours must not be over 10
So the rule to write is;
x + y ≤ 10
What is the largest output achieved by the function? At what x-value is it hit.
Answer:
f(1) = 4
Step-by-step explanation:
Largest output is 4, when x=1.
PLEASE HELP WILL MAKE BRAINLIST
What is the solution to 4|x − 3| + 1 = 1?
A.
x = 3
B.
x = 3 or x = 4
C.
x = 3 or x = 6
D.
No solutions exist.
Answer:
X=3
Step-by-step explanation:
4x-12+1=1
4x=1-1+12
4x=12
x=12/4
x=3
Answer:
x=3
Step-by-step explanation:
Elise doesn't like sorbit, so she omits that ingredient and adds 5 percent to each of the other ingredients. How many cups of punch will she have if she uses 6 cups of orange juice?
Answer: 20
Step-by-step explanation:
From the question, to make the punch recipe, the following are needed:
Ginger Ale - 40%
Orange Juice - 25%
Pineapple juice - 20%
Sorbet - 15%
Since we are told that Elise doesn't like sorbit, so she omits that ingredient and adds 5 percent to each of the other ingredients. The the new percent will be:
Ginger Ale - 40% + 5% = 45%
Orange Juice - 25% + 5% = 30%
Pineapple juice - 20% + 5% = 25%
Sorbet - 15% - 15% = 0
To get the total cups of punch that'll be used, let it be represented by y. Therefore,
30% of y = 6
30/100 × y = 6
0.3 × y = 6
0.3y = 6
y = 6/0.3
y = 20
Therefore, she'll have 20 cups of punch.
find 11 expressions using only fives, that equal either 0,1,2,3,4,5,6,7,8,9,10
Answer and Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
5 + 5
5
5/5
5/5 + 5
5/5 + 5/5
5/5 + 5/5 + 5/5
5/5 + 5/5 + 5/5 + 5/5
5 + 5/5 + 5/5
5 + 5/5 + 5/5 + 5/5
5 + 5/5 + 5/5 + 5/5 + 5/5
5 - 5
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
Carl's grandfather is exactly 5 times older than Carl.
Which three statements must be true?
Answer:
g = 5c
5*c = g
g/5 = c
Step-by-step explanation:
g = grandfather
c = carl
Answer:
The age of Carl's grandfather is a composite number.
Carl's age is a factor of the age of his grandfather.
The number 5 is a factor of the age of Carl's grandfather.
WILL MARK brainliset answer if gotten right
Answer:
Line segment PN
Step-by-step explanation:
Is 0.752 a rational number?
Step-by-step explanation:
yes indeed it is rational
in the equation, y = 0.007x, how many inches of rain falls in 6 minutes?
Answer:
X represents the value you can multiply with the slope to get the answer.
y = 0.007x
= 0.007(6)
= 0.042
Therefore, 0.042 inches of rain falls in 6 minutes.
Elliot borrows $900 to buy an appliance at a yearly simple interest rate. He takes 3 years to pay off the loan and interest. He pays $135 in interest. What is the interest rate?
Which are are solutions for x^2 + 5x – 1 > 6
Answer:
it might be b and d
Step-by-step explanation:
Please help me with my homework!!!!
Answer:
1. m = 5 2. v = -19 3. x = 10
4. x = 3 5. x = 32 6. x = -50
Step-by-step explanation:
My mom told me I know everything :D
What is the slope of a line perpendicular to 3Y + 6X = 12?
Select one:
a. -2
b. 2
c. 1/2
d. -1/2
e. 1/6