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Mr. Stewart bought a new battery for his car. The battery cost $72. Since batteries are a taxable item, he had to pay a sales tax of 7.5%. What was the total cost of the battery in dollars and cents?
Mr. Stewart spent $77.40 on his new car battery.
Answer: $77.40
Step-by-step explanation:
First you take the 7.5% and turn it into a decimal and to do that you have to divide 7.5 by 100 which gives you .075. You then multiply 72 by .075 to know how much money you will pay with tax and you get $5.40. then you add $5.40 to $72 to get the total coast of the battery, which is $77.40.
The total cost of the battery was $77.40.
Chen burns 354 calories in 1-hour swimming. He swam for 28 hours last month. How many calories did Chen burn in all last month from swimming?
Answer: he burned 9912 calories all last month
is the population of cats on another island whose cat population was originally 11,000 but is doubling every 14 months. (t is time in months.)
Answer:
P = 11,000(2)^t/11
Step-by-step explanation:
The formula is given as:
P = Po(2)^t/d
Where
Po = Initial population = 11,000
t = time in months
d = doubling time = 11 months
Hence,
P = 11,000(2)^t/11
Hence, the population of cats is given by the equation:
P = 11,000(2)^t/11
To address a falling GDP, a government may:
A. raise interest rates to allow businesses to borrow more money.
B. reduce the amount of money it puts into circulation.
C. invest in programs in order to help people in need.
D. lower interest rates to allow businesses to borrow more money.
Answer: D. Lower interest rates to allow businesses to borrow more money
Step-by-step explanation:
just took the test
To address a falling GDP, a government may lower interest rates to allow businesses to borrow more money. The correct option is A.
What is GDP?Real GDP (short for real GDP) is a macroeconomic measure of the value of economic output adjusted for price changes. This adjustment transforms the money-value measure, nominal GDP, into an index for the quantity of total output.
It is computed using the prices of a given base year. To calculate Real GDP, you must first determine how much GDP has been changed by inflation since the base year and then divide that amount by the number of years.
A government may lower interest rates to allow businesses to borrow more money in order to address a falling GDP.
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- The area of a triangle is 9.45 m2. If the base is 2.65 m, what is the height?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{height = 7.13 \: m}}}}}[/tex]
Step-by-step explanation:
Area of a triangle ( A ) = 9.45 m²
Base of a triangle ( b ) = 2.65
Height of a triangle ( h ) = ?
Finding the height of a triangle
[tex] \boxed{ \sf{area \: of \: a \: triangle = \frac{1}{2} bh}}[/tex]
[tex] \dashrightarrow{ \sf{9.45 = \frac{1}{2} \times 2.65 \times h}}[/tex]
[tex] \dashrightarrow{ \sf{9.45 = 1.325h}}[/tex]
[tex] \dashrightarrow{ \sf{1.325h = 9.45}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{1.325 \: h}{1.325} = \frac{9.45}{1.325}}} [/tex]
[tex] \dashrightarrow{ \sf{h = 7.13 \: m}}[/tex]
Hope I helped!
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Car A is moving twice as fast as car B. Car B starts 174. Meters in front of car A. If car A passes car B in 27 seconds, how fast is car B going.
Answer: The speed of car B is 6.44 m/s
Step-by-step explanation:
Let's define:
Sa = Speed of car A.
Sb = Speed of car B.
I assume that at t = 0s, the position of car A is 0m (then at t = 0s, the position of car B is 174m)
Then we can write the positions of each car as:
Pa(t) = Sa*t
Pb(t) = Sb*t + 174m.
We also know that Sa = 2*Sb.
And we know that at t= 27s, car A passes car B.
Then at t = 27s, the positions of both cars must be the same:
Pa(27s) = Pb(27s)
Sa*27s = Sb*27s + 174m.
Now we can replace Sa by 2*Sb (from the above equation)
2*Sb*27s = Sb*27s + 174m
Now we can solve this for Sb.
2*Sb*27s - Sb*27s = 174m
Sb*27s = 174m
Sb = 174m/27s = 6.44m/s.
The speed of car B is 6.44 m/s
AHHHH please help answer and I’ll give you points
Answer: Yes She is correct
Step-by-step explanation:
20194+9283 - 372 = ?
will give brainliest or whatever
20,194+9,283 - 372 = 29,105
Three students have proposed these ways to describe when two lines l and m are perpendicular: Read screenshot for info. Explain why each of these definitions is correct. What are some of the advantages and disadvantages with each?
Answer:
a. The definition that l and m are perpendicular if they meet at one point and one of the angles at their point of intersection is a right angle
The above definition is correct because, where two lines intersect, forming an angle of 90° with each other, then, by definition of perpendicular lines, the direction of one line is perpendicular to the other
The advantage of the above definition are;
1) It is simply stated and therefore, will be easier to understand
2) It can be easily used to test the perpendicular relationship between two objects
Disadvantages
1) It gives limited description of the other characteristics of the line
2) It does not state if the lines extend past each other after the point at which they cross
b. For the definition, l and m are perpendicular if they meet at one point and all four of the angles at their point of intersection are right angles
The above definition is correct as it meets the condition of two lines to be perpendicular to each other
Advantages
1) It clearly describes the relationship between the lines and their appearance
2) It indicates that the sun of angles at the point of intersection is 360°
Disadvantage
1) The resulting detail of the four angles may lead to ambiguity in the case where the two lines do not cross and there are only three angles formed at the point
c. For the definition, l and m are perpendicular if they meet at one point and reflection about l maps m to itself
The above definition is correct as it indicates the requirement for the continuity of the definition of the on line after crossing the other line
Advantages
1) It defines the condition of perpendicularity without the requirement for measuring the angles
2) It states the symmetrical condition of perpendicular lines about the vertical axis
Disadvantages
1) It requires further clarification in order to be related to the original definition of perpendicular lines being lines that are at right angle to each other.
Step-by-step explanation:
solve the equation X³+2X²-5X -6
Answer: x = {-1, -3, 2}
Step-by-step explanation:
x³ + 2x² - 5x - 6 = 0
Use the rational root theorem to find the possible roots: ±1, ±2, ±3, ±6
Use Long division, Synthetic division, or plug them into the equation to see which root(s) work (result in a remainder of zero).
I will use Synthetic division. Let's try x = 1
1 | 1 2 -5 -6
| ↓ 1 3 -2
1 3 -2 -8 ← remainder ≠ 0 so x = 1 is NOT a root
Let's try x = -1
- 1 | 1 2 -5 -6
| ↓ -1 -1 6
1 1 -6 0 ← remainder = 0 so x = -1 is a root!
The coefficients of the reduced polynomial are: 1, 1, -6 --> x² + x - 6
Factor: x² + x - 6
(x + 3)(x - 2)
Set those factors equal to zero to solve for x:
x + 3 = 0 --> x = -3
x - 2 = 0 --> x = 2
Using Synthetic Division and Factoring the reduced polynomial, we found
x = -1, -3, and 2
Simplify. 5-10 | 0.8 - 3/5 | A. –5 B. –1 C. 3 D. 5
Answer:
I dont know what to do... i know I keep bothering you, but you actually give me advice. My favorite advice youve given me was probably, so sus ;)
Step-by-step explanation:
That was an inside joke for anyone else who see this haha
Simplify.
-(1 - 3)2 - 2x2
what is the reciprocal of 2 8/9
9/26
2 8/9 = 26/9
Reciprocal of 16/9 is 9/26
Determine whether the relation represents y as a function of x
2x+y^2=6
Answer:
rabi pati le crabby pati vi qui faste un fadi xx
When using the power rule, the original coefficient:__________a) Is multiplied by the original exponent.b) Only changes if the function is in terms of x.c) Is ignored
Answer:
a) Is multiplied by the original exponent.
Step-by-step explanation:
the power rule works like this:
you want to find the derivative of ax ⁿ
where n is the exponent and a is the coefficient
the derivative would equal (n ⋅ a)xⁿ⁻¹
e.g. you want to find the derivatives of 5x⁴
f'(x) = (4 ⋅ 5)x⁴⁻¹ = 20x³
f''(x) = (3 ⋅ 20)x³⁻¹ = 60x²
f'''(x) = (2 ⋅ 60)x²⁻¹ = 120x
f''''(x) = (1 ⋅ 120)x¹⁻¹ = 120
A board of length (6x4 + 9x2- 21) meters is to be cut into three pieces of the same length. Find the length of each
piece.
Answer:
(2x⁴ + 3x² -7)
Step-by-step explanation:
Length is
(6x⁴ + 9x²- 21)It is to be divided by 3.
Note when dividing the polynomial by any value each of the terms is divides by same value:
(6x⁴ + 9x²- 21)/3 = 6x⁴/3 + 9x²/3 - 21/3 = 2x⁴ + 3x² -7Each piece is (2x⁴ + 3x² -7) meters long
If elephant grass grows 3 2/5 inches a day, how many inches will it grow in 7 days?
Step-by-step explanation:
do 3 2/5 times by 7 to get ur answer
what are strategies to find rational numbers
Between 9 P.M. and 6:10 A.M., the water level in a swimming pool decreased by 5/12. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
in 9 hour 10 minutes the water level decreased = 5/12
in 550 minutes the water level decreased = 5/12
in 60 minutes the water level decreased = (5/12)/550*60
= 1/22
Step-by-step explanation:
The rate of which water level decreases is 1/22 per hour.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Between time interval 9 P.M. and 6:10 AM,
The water level in the swimming pool decreases by 5/12.
To find the rate of decreasing water,
Total time duration = Final time - initial time = 9 : 10 hours = 540 + 10 = 550 minutes.
Since, in 550 minutes the water level decreases by 5/12.
To find water level decreases in each hour,
Use ratio property,
550 minutes = 5/12 decreases
1 minutes = 5/12 x 1/550 decreases
60 minutes = (5/12) x (60 / 550)
= 1 / 22
In each hour the water level decreases by 1/22.
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Suppose a necklace is made from 18-karat gold and weighs 54 grams. Find the weight, in grams, of the pure gold in the necklace.
I work part time at a jeweler, that necklace would be worth about 3.3K and then also you didn't provide what the effect is. Wouldn't the necklace remain as 54 grams?
1 1/4 times 2/5 divided by 3 1/3
What is the product?
Answer:
20s³ + 50s² + 32s + 6
Step-by-step explanation:
( 4s + 2 ) ( 5s² + 10s + 3)
use the distribution property:
20s³ + 40s² + 12s + 10s² + 20s + 6
combine like terms:
20s³ + 50s² + 32s + 6
therefore
the expand value = 20s³ + 50s² + 32s + 6
Sara received 73 votes, Ben received 23 fewer than Sara. How many students voted? How many votes did Ben receive?
The formula to convert Celsius to Fahrenheit is F= 90+32. Convert 87°F to
Celsius. Round to the nearest degree.
O A. 55°C
O B. 31°C
O c. 16°C
O D. 99°C
SUBMIT
A certain field is a rectangle with a perimeter of
846
feet. The length is
159
feet more than the width. Find the width and length of the rectangular field.
Answer:
Width = 132 feet, Length = 291 feet
Step-by-step explanation:
perimeter (P) = 846
let width(W) = x
length(L) = 159 feet more than width = 159 + W= 159 + x
P of a rectangle = 2*(L + W)
846 = 2*((159 + x) + x)
divide both side by 2
423 = (159 + x) + x
423 = 159 + 2x
rearranging
2x + 159 = 423
2x = 423 -159
2x = 264
divide both sides by 2
x = 132 feet
recall W = x and L = 159 + x
W = 132 feet
L = 159 + 132 = 291 feet
c=200x+1,600
solve for x
Answer:
[tex] \huge \: \orange { \boxed{x = \frac{c}{200} - 8 }}[/tex]
Step-by-step explanation:
[tex] \huge \: c = 200x + 1600 \\ \\ \huge \:c - 1600 = 200x \\ \\ \huge \:\frac{c - 1600}{200} = x \\ \\ \huge \: \frac{c}{200} - \frac{1600}{200} = x \\ \\ \huge \:\frac{c}{200} - 8 = x \\ \\ \huge \: \red{ \boxed{x = \frac{c}{200} - 8 }}[/tex]
Mrs. Li wants to compare her students’ test scores to the school average. She created a table to help her.
Answer:
Cierra & Fionna
Step-by-step explanation:
Anything 0 and above would represent someone passing or getting it spot on. The negatives mean below the average of other students.
Which number is equal to 10 Superscript negative 3
Answer:
1/1000 or 0.001.
Step-by-step explanation:
10 ^-3
= 1/10^3
= 1/1000.
HELP PRECALC WILL GIVE BRAINLIEST
Answer:
389376Step-by-step explanation:
a) The value in C22 is the amount of inventory Store B has of Product Y at the end of July. That value is the starting inventory, 476, less July sales, 87, so will be ...
476 -87 = 389 = C22
__
b) The maximum possible sales of Product Z by Store A in July will be the amount they have in starting inventory, 376. Max(A31) = 376.
___
Additional comment
We have to assume that stores don't share inventory, and that there is no incoming product during the month.