Answer:3,221.6
Step-by-step explanation: if you divide 54,000 by 12, you get 4,500 which is the untaxted payment per month, then you must divide 15,340.80 by 12, which is 1,278.4, then you subtract that from 4,500 which ends up being 3,221.6
Zoey purchased a new car in 1992 for $28,000. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $9,600 in the year 1996, then what would be the predicted value of the car in the year 1998, to the nearest dollar?
Answer:
V = V0 e^-k t where V is the value of the car and t the time in years
ln (V/V0) = - k t
k = -1/4 ln (96/280) = .268
V = V0 e^-k t = 28000 e^-.268 * 6 = 28000 e^-1.606 = $5621
Find the solution(s) to the system
y = x2-4
y = -2x – 5
Answer:
=(-1,-5)
Step-by-step explanation:
y=X1=4
y=-2x-5-2
pythag test. question in screenshot
what number is between 1.3 and 1.45
Step-by-step explanation:
1.3+1.45/2
= 1.75/2
=0.875
Which set shows an average of 8?
A) A
B) B
C) A and B
D) none of the above
Answer: D
Step-by-step explanation:
None of the above
Answer:
Step-by-step explanation:
d
The table shows the location and magnitude of some notable earthquakes. How many times more energy was released by the earthquake in Peru than by the earthquake in Italy? Use the given equation for comparing earthquake intensity level and magnitude.
Using the given logarithmic equation, it is found that 158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.
How many times more energy an earthquake releases than another?According to the logarithmic function given in the problem, the ratio between the amounts of energy released is given by:
log r = M1 - M2
In which M1 and M2 are the magnitudes.
In this problem, considering the earthquakes in Peru and Italy, the magnitudes are M1 = 8.1, M2 = 5.9, hence:
log r = M1 - M2
log r = 8.1 - 5.9
log r = 2.2
[tex]10^{\log{r}} = 10^{2.2}[/tex]
r = 158.5
158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.
More can be learned about logarithmic equations at https://brainly.com/question/25537936
50/100 in tenth fraction and decimal form
Answer:
5/10 and .5
Step-by-step explanation:
50/100 is 1/2 so 1/2 is equal to 5/10
5/10 is also 1/2 and 1/2 as a decimal is .5 or 0.5
hope it helps !
P1 = (1,5). P2 = (x,2) .p1p2=5
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use distance formula :
[tex]\qquad \sf \dashrightarrow \: \sqrt{(x - 1) {}^{2} + (2 - 5) {}^{2} } = 5[/tex]
[tex]\qquad \sf \dashrightarrow \: {(x - 1) {}^{2} + ( - 3) {}^{2} } = 5 {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) {}^{2} + 9 = 25[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) {}^{2} = 16[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) = 16[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) = \pm4[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 5 \: \: or \: \: - 3[/tex]
How do you figure out which statement is true?
Answer:
What question are you talking about though
Haley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week and her brother is spending $15 each week. After how many weeks will their savings account have the same amount of money in them
Answer:
It will be 3 weeks until their savings account has the same amount of money in them.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
416
Chapter 7 Graphing and Functions
16. 2y - 5 = 0
ху
Answer:
y=2
Step-by-step explanation:
add 5 to 0 then divide 5 with 2
please help
cos40∘=sin(x+30∘)
Answer:
x = 20 degrees.
Step-by-step explanation:
cos40∘=sin(x+30∘)
sin (x + 30) = 0.766
x + 30 = arcsin 0.766 = 50
x = 50 - 30 = 20.
Answer:
x = 20
Step-by-step explanation:
cos(angle) = sin(complement of angle) , then
cos40 = sin(90 - 40) = sin50 , then
sin(x + 30) = sin50 , that is
x + 30 = 50 ( subtract 30 from both sides )
x = 20
Two sides of an isosceles triangle measures 9 and 18. Which of the following could be the measure of the other side?
20.124
Step-by-step explanation:
remember the pythagoream theurm states a^{2} + b^{2} =c^{2} so
9 x 9 = 81
18 x 18 = 324
324+81 = 405
now you have to sq root it (20.1246)
-16t^2+100t+316=0
Solve the quadratic equation. Round to the nearest tenth.
Answer:
-2.3, 8.6 to the nearest tenth.
Step-by-step explanation:
-16t^2+100t+316=0
Simplify it first.
Divide by -4:
4t^2 - 25t - 79 = 0
Using the quadratic formula:
x = [-(-25) +/- √(-25)^2 - 4*4*-79) ] / 8
= (25 +/- √(1889)) / 8
= 3.125 +/- 43.463/8
= 3.125 +/- 5.433
= -2.308, 8.558
Answer:
quadratic formula normally normally applies in such cases
how do you find the square root for 9cm
[tex]\rightarrow[/tex]Square root of 9 is a whole number that is multiplied by itself to get the original number. The actual value of square root of 9 is 3.
√9 = ±3
[tex]\rightarrow[/tex]If we square +3 or -3, the resulting value will be equal to 9.
[tex]\sf{(+3)^2 = 9}[/tex]
[tex]\sf{(-3)^2 = 9}[/tex]
How to find?:-[tex]\rightarrow[/tex]Number 9 is an odd number and not a prime number. Prime numbers have only two factors, 1 and the number itself. But as we know, 9 have three multiple factors, 1, 3 and 9 itself. Thus, we can write the number 9 in the form of multiple as;
[tex]\sf{1 × 9 = 9}[/tex][tex]\sf{3 × 3 = 9}[/tex][tex]\sf{9 × 1 = 9}[/tex][tex]\rightarrow[/tex]You know that number 9 is a multiple of 3 or when 3 is multiplied by itself, we get the number 9. Therefore, we can write the square root of 9 as;
➾[tex]\sf{\sqrt{9}}[/tex]
➾[tex]\sf{\sqrt{3×3}}[/tex]
➾[tex]\sf{\sqrt{3^2}}[/tex]
[tex]\rightarrow[/tex]The square cancels the square root of a number. Therefore, if we cancel the square root with a square in the above expression, we get,
➾[tex]\sf{\sqrt{9}}[/tex] = ±3
__________________________________
Hope it helps you:)
Use the given parent function f(x)=|x| to graph g(x)=|x+2|−4. Use the ray tool and select two points to graph each ray.
Answer:
g(x) is the translation of f(x) 2 units to the left and 4 units down
Find the value of x in this equation.
Answer: 5
Step-by-step explanation:
Simplify the expression.
The cost of renting a community center is $100, with an additional cost of $10 per guest.
Which graph has the most appropriate scales and units for this situation?
Answer:
Units will be # attendees for the x axis
Units will be $ for the y axis
the graph should be y = 100 when x = 0 and then for each x increase of one the value of y will increase 10
Step-by-step explanation:
The area of the rectangle is
432 square units. If the width
is 24 units, what is the length?
Answer:
18 units
Step-by-step explanation:
Area = length * width (A = L * w)
So, in order to find the length when given the width and area, you have to divide the area by the width.
432 / 24 = 18
I hope this helps! Have a lovely day!! :)
What equals -9 when multiplied but -8 when added
Answer:
1 and -9
Step-by-step explanation:
We can find the number by looking at the factors of -9, which include 1 and -9, -1 and 9, and -3 and 3.
1 * -9 = -9
1 + (-9) = -8
Eli planted 14 out of his 20 tomato plants so far in his garden. What percentage of his tomato plants has he planted?
Answer:
70%
Step-by-step explanation:
First we express this as a fraction:
14/20
Then we express it as a decimal: (by doing 14÷20)
0.7
Now we express it as a percentage by multiplying the decimal by 100:
0.7×100%
70%
Answer:
70%
Step-by-step explanation:
GIven:
Eli planted 14 out of his 20 tomato plants so far in his garden. What percentage of his tomato plants has he planted?
Solve:
14/20 x 100
0.7 x 100
70%
Hence, 70% of his tomato plants he planted.
~Lenvy~
Find the area of the following shape. (8 points)
what is the answer?
Answer:
72 square units
Step-by-step explanation:
Identify the heightIdentify the lengthMultiply those two togetherThat is your answerH = 9 units
L = 8 units
A = H × L
A = 9 × 8
A = 72 square units
if f(-3)=14 what would be the equation for f(x)
Answer:
Step-by-step explanation:
if quadratic
(-3)²+5=9+5=14
so f(x)=x²+5
or
if linear
(-3)+17=14
f(x)=x+17
if cubic
(-3)³-2(-3)²-3(-3)+14=14
f(x)=x³-2x²-3x+14
so on.
Box size | number of mufffons
Small. 4
Medium. 6
Large. 8
Extra large 12
How many muffins are needed to fill all the boxes? Show your work
Using the digits 1, 3, and 5 only once, write the greatest
and least three-digit numbers you can.
Answer:
Greatest: 531
Least: 135
Step-by-step explanation:
In order to make the greatest number, you want the highest number to be in the highest digits place.
In this case, 5 is the largest number
This is because having a number that is 500 is greater than a number that is 300 or 100.
Then, the next biggest number will be used for the next digit, which is 3, so 3 will be in the 10s place
Then the left over 1 will be in the single digits place, so the greatest number is
531
This is the same process as before, just instead of big numbers, you want little numbers
For the least number, you want the lowest number to be in the 100s place, which is 1
Then 3 is the next lowest number
and the left over is 5
So the least number you can make is:
135
A gas tank holds exactly 14 gallons of gas. If the tank is 2/3 empty, how many gallons remain in the tank?
2/3 empty would mean 1/3 of the total would remain:
14 gallons x 1/3 = 4 2/3 gallons are left in the tank
Put the expressions in order from least to greatest.
Answer:
[tex]\frac{11^{4} }{11^{11} } ,\frac{1}{11^{-4} }, 11^{5}*11^{2}, (11^{-3})^{-3}[/tex]
Step-by-step explanation:
For this, you need to know the rules of exponents:
If the coefficient is the same, you can do things to it (which I will get into)
In this case, all the coefficients are 11, so we don't have to worry about the coefficients being different.
For the first one, you can subtract the denominator exponent by the numerator exponent like so:
[tex]11^{4} * 11^{-11} = 11^{-7}\\[/tex]
(When you multiply, you add the exponents)
Also, the rule is: [tex]x^{-y} = \frac{1}{x^{y} }[/tex] or [tex]\frac{1}{x^{-y} } = x^{y}[/tex]
For the second one, you can use the rule mentioned before:
[tex]\frac{1}{11^{-4} } = 11^{4}[/tex]
For the third one, you want to multiply the exponents (in these kinds of cases, you can multiply the exponent by the exponent)
So:
[tex](11^{-3} )^{-3} = 11^{9}[/tex]
Finally, the fourth one, you can simply just add the exponents:
[tex]11^{5} * 11^{2} = 11^{7}[/tex]
Then, just order them from least to greatest by their exponents value :)
Zahra is looking at a map of a park that has
a scale of 3 in. to 200 ft.
On the map, each side of the park is 6
inches long.
Zahra's distance to the park is 500 feet.
How long would this distance be on the
map?
Answer:
7.5 inches
peeeee
Jazmine is picking an outfit to wear to a party. She has 5 pairs of pants, 7 shirts, and 4 pairs of shoes to choose from. The number of possibilities Jazmine has to wear to the party is ———- than 120.
One-fourth of the sum of a number and 10 is 2 less
than twice the number?
Answer:
The number is 2
Step-by-step explanation:
The equation is: 1/4 (x + 10) = 2x - 1
1/4x + 2.5 = 2x - 1
Multiply everything by 4 to get rid of the fraction
x + 10 = 8x - 4
Subtract x from both sides
10 = 7x - 4
Add 4 to both sides
14 = 7x
Divide both sides by 7
x = 2