Answer:
$600
Step-by-step explanation:
This can be modeled as an exponential equation.
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the initial valueb is the growth factorx is the independent variabley is the dependent variableTherefore:
a = initial cost of computerb = 0.5 (since the computer loses half its value)x = t/2 where t is the number of years ⇒ 3y = $75[tex]\implies 75=a(0.5)^3[/tex]
[tex]\implies 75=0.125a[/tex]
[tex]\implies a=\dfrac{75}{0.125}[/tex]
[tex]\implies a=600[/tex]
Therefore, the computer initially cost $600.
answer quick i’ll give brainliest!! if you send links i’ll report u!
Answer:
[tex]\fbox{ Option D ➫ \: 416 \: cm²}[/tex]
Step by step explanation:
Given:
height of prism h = 18 cm
length of base of triangle b = 10cm
height of triangle h' = 2 cm
side A of triangle = 5 cm
side B of triangle = 7 cm
To find:
Surface area of prism = ?
Solution:
[tex]Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{10} \times \not{2} \\ Area \: of \: base \: triangle = 10 \: {cm}^{2} [/tex]
[tex] \fbox{Area \: of \: base \: triangle \: (B) = 10 \: cm²}[/tex]
[tex]Perimeter \: of \: base \: triangle = Side A + Side B + base b \\ Perimeter \: of \: base \: triangle = 5 + 7 + 10 \: cm \\ Perimeter \: of \: base \: triangle = 22 \: cm[/tex]
[tex] \fbox{Perimeter \: of \: base \: triangle (p) \: = 22 \: cm}[/tex]
[tex]Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 10+ \: 22 \times 18 \\ Surface \: area \: of \: prism = 20 + 396\\ Surface \: area \: of \: prism = 416 \: {cm}^{2} [/tex]
[tex]\fbox{Surface \: area \: of \: prism = 416 \: cm²}[/tex]
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Answer:
D. 416 cm²
Step-by-step explanation:
Let S be the surface area of the prism
B be the area of the base of the prism
A be the lateral area of the prism
_______
formula :
S = 2B + A
__________
The base is a triangle ,then B the area of the base :
[tex]B=\frac{10 \times 2}{2}=10 \mathrm{~cm}^{2}[/tex]
_______
formula :
A = (Perimeter of the base) × (the height of the prism)
__________
then ,
[tex]\begin{aligned}A &=(10+5+7) \times 18 \\&=22 \times 18 \\&=396cm^2\end{aligned}[/tex]
Conclusion:
[tex]\begin{aligned}S &=2 B+A \\&=2 \times(10)+396 \\&=20+396 \\&=416 \mathrm{~cm}^{2}\end{aligned}[/tex]
Find f(x) and g(x) such that h(x) = (fog)(x). Let g(x) = 7x + 2.
h(x) =6/square root of (7x+2)
Answer:
f(x) = 6√7
Step-by-step explanation:
f{g(x)}=h(x)
f(7x+2)=6√7x+2
let y = 7x+2
x= (y-2)/7
f(x)= 6 √7(y-2)/7+2
Thus, f(x) =6√7
What is 35 - 2 ????? I am very confused and need help. I’m in college pls.
Answer:
33
Step-by-step explanation:
35 take away 1 is 34 take away one more its 33
Sal is making bracelets for a fundraiser. He uses 6 inches of yarn per bracelet. how many bracelets can Sal make?
Answer:
He should consider using an exuberant amount of yarn to raise money for charity. How much yarn is available?
find ingrammes 1/5 of 2 kg + 60 g
Answer
i dont know i jus want the points
Step-by-step explanation:
A composite figure is shown. What is the volume for the composite figure
The volume of the composite fiqure as shown in the diagram above is 300 cm³.
What is a composite fiqure?A composite fiqure is a fiqure that can be divided into mor than one of the basic shapes.
Note: The composite fiqure is made up of two different cubiods
To calculate the volume of the composite fiqure, we use the formula below.
Formula:
V = lbH+Lbh........... Equation 1Where:
V = Volume of the composite fiqureGiven:
l = 4 cmb = 5 cmH = 9 cmL = 6 cmb = 5 cmh = 4 cmSubsitute these values into equation 1
V = (4×9×5)+(6×5×4)V = 180+120V = 300 cm³Hence, The volume of the composite fiqure as shown in the diagram above is 300 cm³.
Learn more about composite volume here: https://brainly.com/question/15981553
solve the system of equations:
-3x + 7y = -15
3x + 5y = 15
what do X and Y equal?
Answer:
x=5
y=0
Step-by-step explanation:
Let's solve the system of equations through elimination
Solving by elimination is when you add or subtract one equation by the other to eliminate one variable
In this case, adding 3x and -3x would cancel each other out so we should add the equations
[tex]-3x + 7y = -15\\+(3x + 5y = 15)\\0+12y=0\\12y=0[/tex]
Now solve for y
Divide both sides by 12 to isolate y
[tex]12y=0\\\\\frac{12y}{12} =\frac{0}{12} \\\\y=0[/tex]
Now sub in the value of y into one of the original equations and solve for x
[tex]3x+5y=15\\3x+5(0)=15\\3x=15\\[/tex]
Divide both sides by 3 to isolate x
[tex]\frac{3x}{3} =\frac{15}{3} \\x=5[/tex]
The length of the longer leg of a right triangle is 13 m more than three times the length of the shorter leg. The length of the hypotenuse is 14 m more than three times the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: 0 m Length of the longer leg: in Length of the hypotenuse:
Answer:17
Step-by-step explanation:
HELP ME PLEASE 30 points, HELP
Answer:A
Step-by-step explanation:
When you translate you are simply moving the shape up, down, left right. You are not rotating it or chanding it's orientation.
Answer: the answer is B
Step-by-step explanation: B because it would’ve reflected off of the 1st quadrant on a grid so it would be facing the opposite direction.
What is the equation of the line that passes through the point (3, 5) and has a slope
of -1/3
Answer:
[tex]Y=-\frac{1}{3} + 6[/tex]
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can somebody help me on this pleaseee
Answer:
B I think or C or D or it could be A
Johnson has 19 bowls of ice cream he gives away d ice cream bowls write the expression that shows the number of ice cream bowls are left?
Answer:
19 -d
Step-by-step explanation:
The number Johnson has left is found by subtracting the number he gave away from the number he started with.
19 -d . . . . . . . number of ice cream bowls left
There is a juice bar at the gym. Fiona has a gift card that has a balance of $30. Each time she
buys a bottle of her favorite juice, $3 is deducted from her card. Chester also has a gift card.
The equation y=20 - 5x represents y, the balance, in dollars, left on his card after he has
bought x of his favorite bottles of juice.
Who had a greater initial amount of money on their card, Fiona or Chester? Whose balance
decreases at a faster rate every time he or she buys his or her favorite juice? Use the space
below for your work. Explain.
Answer:
y=mx+b. slopes.
Fiona's equation is y=-3x+30. She will have no money after buying 10 of her favorite drink. She starts with $30 and loses $3 each time. She loses at a slower rate than Chester.
Chester's equation is y=-5x+20. He will have no money after buying 4 of his favorite drink. He starts with $20 and loses $5 each time. He loses at a faster rate than Fiona.
Solve for the value of k.
(k+1)°
42°
Which expression is equivalent to 20 + 8y − 9y − 21
Answer:
-y-1
Step-by-step explanation:
Please solve this for me
IM STUCK CAN SOMEBODY SOLVE THE EQUATION
Answer:
m = 4
(0, 1)
y = 4x + 1
Step-by-step explanation:
Slope using first two points (-2, 7) & (-1, -3):
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-3+7}{-1+2} =\frac{4}{1}[/tex]
m = 4
Y-intercept, b: (0, 1)
Equation:
y = mx + b
y = 4x + 1
+3=17
x
+
3
y
=
17
−+2=8
−
x
+
2
y
=
8
Step 1: Find the LCM to eliminate the x.
Step 2: Write the new equation.
Step 3: Divide to solve for y.
Answer:
1
Step-by-step explanation:
(2x > 10) list some values for x that would make this inequality true
Answer:
6 , 7 , 8 , 9...
Step-by-step explanation:
2x > 10
x > 5
then
x = 6 , 7 , 8, 9...
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Find the missing side length
Answer:
12
Step-by-step explanation:
5^2+b^2=13^2
25+b^2=169
169-25=144
b=12
(yes, this is also a triple)
Jacob wants to determine the principal amount still owed on his mortgage loan. He knows that the interest portion of his last monthly payment was $391.42. If he is paying interest at the rate of 11½%, what was the outstanding balance of the loan before that last payment was made?
If the interest rate is 11½%. The outstanding balance of the loan before that last payment was made is:$40,843.83.
Loan Oustanding balanceFirst step is to find the annual interest
Annual interest= $391.42 x 12
Annual interest= $4,697.04
Second step is to calculate the outstanding balance
Outstanding balance=Annual interest/Interest rate
Oustanding balance= $4,697.04/ 11½%,
Outstanding balance =$40,843.826
Outsatnding balance= $40,843.83 (Approximately)
Therefore the outstanding balance of the loan before that last payment was made is:$40,843.83.
Learn more about loan outstanding balance here:https://brainly.com/question/2279877
could anyone give me some quick help with this?
Answer:
a) 8xy = (4)(2xy)
b) 15x⁴z = (5x²)(3x²z)
c) -12x³y³ = (3y³)(-4x³)
d) 8x-2y = (2)(4x-y)
Step-by-step explanation:
a) 8xy = (4)(2xy) for the right side to equal the left 2xy needs to be multiplied by 4 to equal 8xy
b) 15x⁴z = (5x²)(3x²z) you need to multiply 5x² by 3x²z to equal 15x⁴z.
5*3 = 15 and x²*x² = x⁴ so 15x⁴*z = 15x⁴z
c) -12x³y³ = (3y³)(-4x³) becuase -4*3 = -12 and x³*y³ equal x³y³
d) 8x - 2y = (2)(4x-y) when you multiply 2 by 4x-y it equals 8x-2y
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Here help my sis needs help
Let's complete
(2,8)(3,12)(4,16)Rule following=4n
(5,20)(6,24)#2
The rule is 4n
#3
Let's see
4n=48n=12ydI need help finding the direction please. 100 points!
=======================================================
Explanation:
Take note that the x and y coordinate of this vector are the same.
This leads to a 45-45-90 reference triangle. If the vector was in the first quadrant (the northeast), then the answer would be 45 degrees.
However, we need to add on 180 so we get to the third quadrant instead where x and y are both negative. This gets us to 180+45 = 225 degrees
---------------
If you wanted to use a calculator, then you would compute the value of [tex]\tan^{-1}(b/a)[/tex] where <a,b> is the vector in question.
Since a = b in this case, we have b/a = 1 and the arctangent of this is 45 degrees. The adjustment of adding on 180 still applies like from before.
A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing that: He plans to drive 100 miles. He has at most $70 to spend. Which inequality can be used to determine xx, the maximum number of days Hudson can afford to rent for while staying within his budget?
Answer:
1.97 day; 1 day.
Step-by-step explanation:
0.07*100 = 7
31.91x - 7 = 70
70 - 7 = 63
31.91x = 63
63 / 31.91 = 1.97
Please answer the questions below
Answer:
see explanation
Step-by-step explanation:
(3)
Parallel lines have equal slopes
the equation of a line in sloipe- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{4}[/tex] x + 5 ⇒ m = [tex]\frac{1}{4}[/tex]
y = 4x + 5 ⇒ m = 4
y = - 4x + 5 ⇒ m = - 4
y = - 4x - 9 ⇒ m = - 4
the 3rd and 4th options have equal slopes and are parallel
(4)
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
y = [tex]\frac{1}{6}[/tex] x + 4 ⇒ m = [tex]\frac{1}{6}[/tex]
y = - [tex]\frac{1}{6}[/tex] x + 5 ⇒ m = - [tex]\frac{1}{6}[/tex]
y = [tex]\frac{1}{6}[/tex] x + 3 ⇒ m = [tex]\frac{1}{6}[/tex]
y = 6x + 3 ⇒ m = 6
note that a slope of m = 6 , has a perpendicular slope of
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{6}[/tex]
the 2nd and 4th lines are perpendicular
solve for x ~
[tex]x {}^{2} - 4x = 0[/tex]
thankyou ~
Answer:
[tex]x = 0 \\ x = 4[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 4x = 0 \\ x(x - 4) = 0 \\ \\ x = 0 \\ \\ x - 4 = 0 \: - > x = 4[/tex]
write an equation of the line in slope-intercept form: A(-1,3) and b(2,-1)
Answer: y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
First we will find the slope, then we will find the y-intercept.
Slope is change in y over change in x:
[tex]\frac{-1-3}{2--1}=\frac{-4}{3}[/tex]
Now we will solve for the y-intercept:
y = [tex]\frac{-4}{3}[/tex]x + b
(-1) = [tex]\frac{-4}{3}[/tex](2) + b
-1 = [tex]\frac{-8}{3}[/tex] + b
[tex]\frac{5}{3}[/tex] = b
b = [tex]\frac{5}{3}[/tex]
Final equation:
y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Answer:
1200 more beats in 3 seconds or
400 more beats in 1 second
Step-by-step explanation:
A Mosquito beats its wings at a rate of 600 times per second.
A honey bee beats its wings at a rate of 200 times per second.
600 - 200 = 400
The mosquito beats 400 more times per second
400 X 3 = 1200