Answer:
4.62 years
Step-by-step explanation:
Half the car's value =>$24,000/2 = $12,000
The formula for exponential decrease =
y = a(1 - r)^t
y = Initial value = $24,000
a = Value after time t = $12,000
r = Decrease rate = 15% = 0.15
t = time in years =??
Hence,
24,000 = 12000 ( 1 - 0.15)^t
Divide both sides by 12000
24000/12000 = 12000 ( 0.85)^t/ 12000
2 = 0.85^t
We take the logarithm of both sides
log 2 = log (0.85)^t
log 2 = t log 0.85
Divide both sides by log 0.85
t = log 2/log 0.85
t = 4.62098120373 years
Approximately = 4.62 years
It would take 4.62 years to be worth half the initial price
Write the equation in standard form of a line that is parallel to the graph of 2x + y = 5 and whose y - intercept is (0,4).
The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.
That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:
10 = 2(8) + b We need to solve for b.
10 = 16 + b
b = -6
plzzz help me with this math im so confused!!
Answer:
I have made it in above picture
Answer:
2 A.)
1) 3-4x+8x^2-6+2x-5x^2
2) 8x^2-5x^2-4x+2x+3-6
3) 3x^2-2x-3
B.) 3x-5-7x^2+2+6x^2+5x
Step-by-step explanation:
please mark brainiest
please give 5 stars
thank you
Please help i dont know if this is right?
"just do it"- adidas
just yolo it
a positive number of two digits the ten place exced.the unit place digit by 5 .if the producted digit is 46. find the number
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Which points make the equation below true?
y = 43x + 5
a. (1 , 7)
b. (6 , 13)
c. (21 , 33)
d. (99 , 137)
Answer:
b,c,d
Step-by-step explanation:
if its 43x, none of the point is true.
if its 4/3x:
a. Not true 4/3(1) + 5 = 6 1/3
b. True 4/3(6) + 5 = 13
c. True 4/3(21) + 5 = 33
d. True 4/3(99) + 5 = 137
a + 7a+3ab-2ab-1+6 Simplify
Answer:
8a + ab + 5
Step-by-step explanation:
1. a + 7a+3ab-2ab-1+6
2. combine like terms
(a + 7a) + (3ab - 2ab) + (-1+6)
8a + ab + 5
Answer:
8a + ab + 5
Step-by-step explanation:
combine like terms. like term have same variables
a and 7a ; 3ab and (-2ab) ; (-1) and 6 are like terms
a + 7a + 3ab - 2ab - 1 + 6 = 8a + ab + 5
Will spent $40 at the fair. It cost $20 to get in the fair and $0.50 per ticket to ride the rides. How many tickets did Will buy? A. 40 B. 20 C. 120 D. 30
Answer:
B.20
Step-by-step explanation:
Which statements are true of irrational numbers
CLICK ALL THE APPLY:) Will mark b if correct!!!!!!!!!!!!!!!!!!!!!!!
A countrys population in 1990 was 145 million. In 1998 it was 151 million. Estimate the population in 2015 using the exponential growth formula. Round your answer to the nearest million
Answer:
The population in 2015 will be 165 million.
Step-by-step explanation:
The exponential growth formula is given by:
[tex] f(t) = a(1 + r)^{\Delta t} [/tex]
Where:
a: is the initial population
r: is the rate of increase
Δt: is the time
With the initial information we can find the rate:
[tex] 151 = 145(1 + r)^{1998-1990} [/tex]
Using logarithm:
[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]
[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]
[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]
Using exponential:
[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]
[tex] r = 5.081 \cdot 10^{-3} [/tex]
Now, we can find the estimated population in 2015:
[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]
[tex] f(t) = 165 [/tex]
Therefore, the population in 2015 will be 165 million.
I hope it helps you!
The Brown’s used 50 feet of rope to surround their rectangular garden. The length of the garden is 4 times as much as its width.
Answer:
200 feet
Step-by-step explanation:
Which equation is not an example of a direct variation
Y=-7x-1
Y=5/16x
Y=4x
Y=-9
I need help with all my 7 questions can someone help me with the first one ?
Answer:
x = 53
Step-by-step explanation:
x = 53 (Vertically Opposite Angles)
what is the distance between the points (-5,-4) and (3,-3).
Distance=√[{3-(-5)}²+{-3-(-4)}²]=√[{8}²+{1}²]=√[64+1]=√65
Distance=√65=8.06 (approx)
Select ALL rational numbers below.
Answer:
27/sqrt9, 4^2 are the rational numbers
Step-by-step explanation:
All the other ones do not terminate, so this leaves these as the answers.
hope this helps!
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=71°, and DB = 67 feet. Find the length of BC to the nearest tenth of a foot.
Answer:
in triangle BCD
relationship between base and hypotenuse is given by cos angle
cos 71=b/h
cos71=BD/BC
cos71=67/x
x=67/cos71=205.8ft.
the length of BC to the nearest tenth of a foot is 206ft.
3. Find the products.
a) (a? + 4) (a? – 4)
Answer:
a^2-16
Step-by-step explanation:
you just a.a+a.-4+4.a+4.-4=a^2-16
can someone help me to solve these two problems pls I will really appreciate I will mark you the brainly!
Answer:
12. 524 in³ (3 sig. fig.) 13. 2000 cm³ (3 sig. fig.)
Step-by-step explanation:
12. Volume of sphere = (4/3)πr³
= 500/3π
= 524 in³ (3 sig. fig.)
13. Volume of cylinder = πr²h
= 7²π(13)
= 637π
= 2000 cm³ (3 sig. fig.)
The rectangle below has an area of 70 square meters. Find the dimensions of the rectangle. (x - 11) (x - 8)
Answer:
the dimensions of the rectangle are 10 and 7.
Step-by-step explanation:
Given;
area of the rectangle, A = 70 m²
dimensions of the rectangle, = x - 11 and x - 8
The area of rectangle is calculated as;
A = L x B
70 = (x - 11)(x - 8)
70 = x² - 8x - 11x + 88
0 = x² - 8x - 11x + 88 - 70
0 = x² - 19x + 18
0 = x² - x - 18x + 18
0 = x(x - 1) -18(x - 1)
0 = (x - 18)(x - 1)
0 = x - 18 or
0 = x - 1
x = 18 or 1
The dimensions of the rectangle are calculated as;
L = 18 - 11 = 7
B = 18 - 8 = 10
Therefore, the dimensions of the rectangle are 10 and 7.
Please answer this quickly
Answer:
Polymomial with 4 terms i believe
Help D: !
Evaluate the expression of the given value of x.
a. 2 + x^3, x is 3.
b. x^2, x is 1/2
c. 3x^2, x is 5
d. 100 - x^2, x is 6
Answer:
Step-by-step explanation:
All points of a sphere are ______ equal distances to its center.
Always
Never
Sometimes
A) Always
In a perfect sphere the centre is an equal distance from any point from the surface.
THANK YOU!!
∝ Sidhdi
Трикутна піраміда побудована з 10 однакових кульок так,
Як показано на малюнку 1. На кожній кульці написана
одна з букв A, B, C, D чи Е і кожна буква написана на двох
кульках. На малюнку 2 зображено вигляд цієї піраміди з
трьох різних боків. Яка буква на кульці зі знаком питання?
Answer:
Sorry I don't know this language
im confused on this one
Determine the y intercept (8grade
Answer:
its 4
Step-by-step explanation:
The sum of the real numbers x and y is 11. Their differences is 5. What is the value of xy
Ivy bought a new pair of basketball shoes that were on sale for 25% off. If
the regular price of the shoes was $75.95, what is the amount of discount?
What are the zeros of the function
f(x)=x^2-7x−30
Answer:
x = 10 , -3Step-by-step explanation:
x² - 7x - 30 = 0
x² + 3x - 10x - 30 = 0
x ( x + 3 ) - 10 ( x + 3 ) = 0
( x - 10 ) ( x + 3 )
x = 10 , -3
Answer:
-3 and 10
Step-by-step explanation:
[tex]f(x)=x^2-7x-30[/tex]
1) Factor the equation
First, find two factors of -30 which has a sum of -7.
⇒ These two factors are 3 and -10.
Then, write the equation as a product of two binomials.
[tex]f(x)=(x+3)(x-10)[/tex]
2) Find the zeros
The zero product property states that any value, when multiplied by 0 will equal 0. Therefore, in this equation, either x+3 or x-10 must equal 0 for the function to equal 0:
x+3=0
x=-3
or
x-10=0
x=10
Therefore, the zeros of the function are -3 and 10.
I hope this helps!
What is the measure of b
Answer:
abcd
Step-by-step explanation:
efg
Write a fraction for each percent.
75% of 96
Answer:
72/96
Step-by-step explanation:
Please help me i don't have that much time
Answer:
D) 128
Step-by-step explanation:
4(0.5)^-5
4(32)
128