Answer:
$5472
Step-by-step explanation:
Set up a reverse ratio for each change:
4446/x = 65/100
65x = (4446) x (100)
65x = 444,600
x = 6840
Before her salary was reduced by 35%, she was earning $6840.
x/6840 = 20/100
100x = (6840)(20)
100x = 136,800
x = 1368 = 20%
$6840 - $1368 = $5472
what is the difference
Answer:
what is question of this you asked
The population of a town is 157,220 and is decreasing at a rate of 0.8% each year. Predict the population in 5 years (round to the nearest whole number).
Answer:
151,031
Step-by-step explanation:
If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:
[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.
Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:
[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]
Therefore, in 5 years, the population should be 151,031.
An isosceles triangle has been constructed so that its height is half its base. Find the dimensions of the
triangle if the area is 64 m².
Answer: 4 8×8= 64 half the base which is 8 =4
Step-by-step explanation:
Answer:
height = 8 m
base = 16 m
Step-by-step explanation:
Let base = 2x m
So, height = half its base = [tex]\frac{2x}{2} = x \ m[/tex]
Area = 64 m²
[tex]\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64[/tex]
x * x = 64
x * x = 8 * 8
x = 8 m
Base = 2x = 2*8 = 16 m
The figure that will be formed if two 45° 45° 90° setsquares are put together is _________.
Solve the equation P=s+t+r for s.
Answer:
[tex]\huge\boxed{\boxed{s=P-t-r}}[/tex]
Step-by-step explanation:
[tex]P=s+t+r\qquad|\text{subtract}\ t\ \text{and}\ r\ \text{from both sides}\\\\P-t-r=s+t+r-t-r\\\\P-t-r=s\Rightarrow\boxed{s=P-t-r}[/tex]
The price of an item changed from $175 to $150. Later, the price decreased to $125. Which of the two decreases was larger in percentage and how much is it?
Answer:
The second decrease is larger at 16 1/6% decrease
Step-by-step explanation:
175 to 150
Take the original price minus the new price divided by the original price
(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease
150 to 125
Take the original price minus the new price divided by the original price
( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease
The second decrease is larger at 16 1/6% decrease
Katherine Johnson is organizing the sale of supplies for the space mission. On the first day you of sales Dorothy Vaughan purchased 3 blankets and 9 trays for a total of $75. Mary Jackson spent 67 on the second day by purchasing 8 blankets and 5 food trays. What is the price of one blanket ticket and one food tray?
(NECESITO PROCEDIMIENTO)
9x + 8 = 7x + 6
X= -1
X= 1/3
X= 1
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]9x+8=7x+6[/tex]
Keep the variables in the left side & rest in the left side:
[tex]9x-7x=6-8[/tex]
[tex]2x=-2[/tex]
[tex]x=-2/2[/tex]
[tex]x=-1[/tex]
a) The nth term of a sequence is given by 3n + 5. Write down the first four terms of the sequence.
If you plug in n = 1, then you get 3*n+5 = 3*1+5 = 3+5 = 8. So 8 is the first term.
Repeat for n = 2 and you should get 3n+5 = 3*2+5 = 6+5 = 11. Or simply add 3 to the last term 8 to get 3+8 = 11.
Repeat for n = 3 and n = 4 to get the third and fourth terms to be 14 and 17 respectively.
Answer: The first four terms are 8, 11, 14, 17
pllllllssssss helpooppppp
A cylindrical roller is 4m long. Its diameter is 1.4m. How many metres does it travel in 500 revolution?
Step-by-step explanation:
the answer is in the image above
The length of a rectangle is 3 times the width. The perimeter of the rectangle is 64 cm. Show the equation that would be used to find the dimensions of the rectangle.
Answer:
64 = 2(3x + x)
Step-by-step explanation:
Perimeter of the rectangle = 64 cm
Width of the rectangle = x
Length of the rectangle = 3x
Perimeter of a rectangle = 2(length + width)
The equation is
64 = 2(3x + x)
64 = 6x + 2x
64 = 8x
x = 64/8
x = 8 cm
Width of the rectangle = x = 8 cm
Length of the rectangle = 3x
= 3(8 cm)
= 24 cm
Question 3
1 pts
Students from Mr. Caldwell's Spanish class are saving money for a summer
trip to Barcelona, Spain. Each student needs to raise $1,080 to be able to
attend the trip. This amount represents an increase of 12.5% over the cost of
the trip last year. How much did the trip to Barcelona cost last year?
O $850
$960
$1,215
$1,030
Answer:
$960
Step-by-step explanation:
Let the original amount be = x
Percentage increase is equal to = 12.5%
final amount = original amount + increase
final amount = x + 0.125x
final amount = 1.125x
final amount = 1080 = 1.125x
and then solve for x
[tex]x = \frac{1080}{1.125} \\ \\ x = 960[/tex]
so in the end x is equal to $960
Solve the equation: 1080 = 1.25x
what is 2.9225 rounded to the nearest cent?
Answer:
2.92
Step-by-step explanation:
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Answer:
2.92
Is what I rounded
and hope it helps
Susie is paying $540.15 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay over the 30 years of payments?
Answer:
17310.6
$540.15 multiply 30
because if they ask all in every month is 540.15
and she got 30 year
Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.
How to determine How much how much interest will she pay over the 30 years of paymentsTo determine the total interest Susie will pay over the 30 years of mortgage payments, we need to subtract the principal amount (the original loan amount) from the total amount she will pay over the 30 years.
First, let's calculate the total amount she will pay over the 30 years by multiplying her monthly payment by the number of months in 30 years:
Total amount paid = Monthly payment x Number of months
= $540.15 x (30 years x 12 months/year)
= $540.15 x 360
= $194,454
Next, we subtract the principal amount from the total amount paid to find the total interest paid:
Total interest paid = Total amount paid - Principal amount
= $194,454 - $150,000
= $44,454
Therefore, Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.
Learn more about interest at https://brainly.com/question/25793394
#SPJ2
If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Use C as an arbitrary constant.)
Answer: some parts of your question is missing below is the missing data
Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y
answer:
F is conservative
F = -6xe^y + ( 33 + 9 ) e^y + C
Step-by-step explanation:
The Potential functions for F so that F = ∇f.
F = -6xe^y + ( 33 + 9 ) e^y + C
attached below is a detailed solution
Expand : (3x+5y)²
please answer
Answer:
FOIL: [tex]9x^2 +30xy + 25y^2[/tex]
(3x + 5y)(3x+5y)
F: 3x*3x
O: 3x*5y
I: 5y*3x
L: 5y*5y
[tex]9x^2 +30xy + 25y^2[/tex]
Step-by-step explanation:
Enter a recursive rule for the geometric sequence.
5, -10, 20, -40,...
a^1 = __; a^n = __
Answer
a^1=-2,5
a^n=a×a^n-1
what is the solution to the equation below sqrt x+3 = x-3
A. 5
B. 6
C. 4
D. 3
Answer:
The value of x = 6
Step-by-step explanation:
Given:
√x + 3 = x - 3
Find:
The value of x
Computation:
Given expression
√x + 3 = x - 3
Squaring both side
(√x + 3)² = (x - 3)²
x + 3 = x² + 3² - (2)(x)(3)
x + 3 = x² + 9 - 6x
x² + 9 - 6x - x - 3 = 0
x² + 7 - 5x = 0
x² - (6 + 1)x + 6 = 0
x² - 6x - x + 6 = 0
x(x - 6) -1(x - 6) = 0
(x - 6)(x - 1) = 0
x = 6 and x = 1
The value of x = 6
What is the value of x that makes l1||12?
A. 11.3
B. 14
C. 22
D. 10
Answer:
[tex](8x - 14) + (2x + 54) = 180 \\ 8x + 2x - 14 + 54 = 180 \\ 10x - 14 + 54 = 180 \\ 10x + 40 = 180 \\ 10x = 180 - 40 \\ 10x = 140 \\ x = \frac{140}{10} \\ x = 14[/tex]
HALP ASAP, also im in or going into 7th grade it only goes from 10th to 100??
which makes know sence
what is the answer to this?
Answer:
x= -1, y = -1
Step-by-step explanation:
-16x +24y = -8
16x -8y = -8
16y = -16
y=-1
16x = -16
x = -1
Answer:
x = - 0.25 = - 1 / 4
y = 0.5 = 1 / 2
Step-by-step explanation:
4x + 6y = 2
Divide 2 on both sides,
2x + 3y = 1 ----> eq. 1
16x - 8y = - 8
Divide - 8 on both sides,
- 2x + y = 1 ----> eq. 2
Add eq. 1 and 2,
2x + 3y = 1
- 2x + y = 1
_________
0 + 4y = 2
4y = 2
y = 2 / 4
y = 1 / 2
y = 0.5
Substitute y = 0.5 in eq. 2,
- 2x + y = 1
- 2x + 0.5 = 1
- 2x = 1 - 0.5
- 2x = 0.5
x = 0.5 / - 2
x = - 0.25
A shopkeeper bought two watches for rs. 400 . He sold them to gain 5 % on one and 5 % loss on other . Calculate his final gain or loss percent of the selling price of both watches is same .
Answer:
69
Step-by-step explanation:
1234567890
Solve the system of equations.
Answer:
(-1,3) and (2,6)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
The graphs intersect at x=-1 and y =3 and x = 2 y=6
(-1,3) and (2,6)
An alloy of copper and zinc which contains 5 grams of zinc. If 15 grams of zinc are added to this alloy, a new alloy is obtained in which the copper content has been reduced by 30% from the original. Find the initial mass of the alloy
Answer:
Initial mass = 25 grams
Step-by-step explanation:
[tex]\left(\frac{x}{x+20}\right)\:=\:\:\left(\frac{x}{x+5}\:-.3\:\right)[/tex]
x = 20 (mass of copper)
[tex]\frac{20}{20+5} = .8 = 80[/tex] percent
[tex]\\\frac{20}{20+15} = .5 = 50[/tex] percent
Please help!! I am literally in tears!!
Consider the function, y = - 13x +52. Find the inverse of the function by solving it for
x. Then, use the inverse to find a value of y such that x = 182.
Answer:
-10
Step-by-step explanation:
Inverse equation: x= -13y +52
simplify: y=-1/-13x + 4
Plug in for x: y= 1/-13 (182) +4
= -10
Answer:
y = -10
Step-by-step explanation:
x = -13 y + 52
y = (x - 52)/-13
~~~~~~~~~~~~~~~~~~
y = (182 - 52)/-13
y = -10
An item on sale costs 80% of the original price. The original price was $41.
Answer:
$32.80
Step-by-step explanation:
So you are trying to find out how much does the sale price cost?
Ok convert $41 into a decimal
$41 = $0.41
Then multiply 80% x $0.41
80 x $0.41 = 32.80
Answer:
$32.8
Step-by-step explanation:
Solve using a proportion
if 100%= $41 and 80% = x, then you cross multiply, and you get 100x = 41 (80), which would become 100x = 3280. Then you divide by 100 on both sides to get 32.8, which would be your answer!
Review the data you collected for the angles in Question 2. Notice that ∠CFB is one of four angles formed by the two intersecting chords. What relationship do you observe that could help you determine the measure of any of the four angles created by two intersecting chords? Write the relationship as an equation.
Answer:
The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD) because the measure of an intercepted arc is equal to the measure of its corresponding central angle.
Explanation:
sample answer from edmentum
in how many years will the interest of a sum of rs 3600 at the rate of 5.5% per year be rs 594?
Answer:
In 3 years, the interest of a sum of rs 3600 at the rate of 5.5% per year be Rs 594.
Step-by-step explanation:
T = ?
R = 5.5%
P = Rs 3600
I = Rs 594
so
T = (I×100)/(P×R)
or, T = (594×100)/(3600×5.5)
or, T = 59400/19800
so, T = 3 yrs
Expand and Simplify
10a-(3a+7)
