Answer:
1. 15.9 years
Step-by-step explanation:
You must solve this equation:
[tex]6000 \cdot 1.091^n > 24000[/tex]
So [tex]1.091^n > 4[/tex]
Take the log left and right:
[tex]\log 1.091^n > \log 4[/tex]
use the log property that you can put the exponent in front:
[tex]n \cdot \log 1.091 > \log 4[/tex]
[tex]n > \frac{\log 4}{\log 1.091}[/tex]
n > 15.917
The illustration below shows the graph of yyy as a function of xxx.
Complete the following sentences based on the graph of the function.
(Enter the xxx-intercepts from least to greatest.)
This is the graph of a
function.
The yyy-intercept of the graph is the function value y=\:y=y, equals
.
The xxx-intercepts of the graph (in order from least to greatest) are located at x=\:x=x, equals
and x=\:x=x, equals
.
The greatest value of yyy is y=\:y=y, equals
, and it occurs when x=\:x=x, equals
.
For xxx between x=2x=2x, equals, 2 and x=6x=6x, equals, 6, the function value y\:yy
\:000.
Answer:
This is the graph of a {\text{nonlinear function}}nonlinear functionstart text, n, o, n, l, i, n, e, a, r, space, f, u, n, c, t, i, o, n, end text.
The yyy-intercept of the graph is the function value y={{-6}}y=−6y, equals, minus, 6.
The xxx-intercepts of the graph are located at x={2}x=2x, equals, 2 and x={6}x=6x, equals, 6.
The greatest value of yyy is y={2}y=2y, equals, 2, and it occurs when x={4}x=4x, equals, 4.
For xxx between x=2x=2x, equals, 2 and x=6x=6x, equals, 6, the function value {y \, {\geq } 0}y≥0y, is greater than or equal to, 0.
Step-by-step explanation:
1 / 7
Let's use the graph to complete the sentences one by one.
Hint #22 / 7
A function with a constant rate of change produces a graph that is a line, and we say the function is linear. If the rate of change of the function is not constant, the graph will not be a line, and we say the function is nonlinear.
The graph shown is not a line. Therefore, we are looking at the graph of a nonlinear function.
Hint #33 / 7
The yyy-intercept of a graph is the value of the function when \red{x=0}x=0start color #df0030, x, equals, 0, end color #df0030. The yyy-intercept of this graph is the function value \blue{y=-6}y=−6start color #6495ed, y, equals, minus, 6, end color #6495ed.
Hint #44 / 7
The xxx-intercepts of a graph are the values of \red{x}xstart color #df0030, x, end color #df0030 for which \blue{y=0}y=0start color #6495ed, y, equals, 0, end color #6495ed. The xxx-intercepts of this graph are located at \red{x=2}x=2start color #df0030, x, equals, 2, end color #df0030 and \red{x=6}x=6start color #df0030, x, equals, 6, end color #df0030.
Hint #55 / 7
The maximum value of \blue{y}ystart color #6495ed, y, end color #6495ed occurs at the top of the bump in the graph. The coordinates of the top of the bump are (\red{4},\blue{2})(4,2)left parenthesis, start color #df0030, 4, end color #df0030, comma, start color #6495ed, 2, end color #6495ed, right parenthesis. Therefore, the maximum value is \blue{y=2}y=2start color #6495ed, y, equals, 2, end color #6495ed, and it occurs when \red{x=4}x=4start color #df0030, x, equals, 4, end color #df0030.
Hint #66 / 7
The graph of the function is above the xxx-axis for values of \red{x}xstart color #df0030, x, end color #df0030 between \red{x=2}x=2start color #df0030, x, equals, 2, end color #df0030 and \red{x=6}x=6start color #df0030, x, equals, 6, end color #df0030. For these values of \red{x}xstart color #df0030, x, end color #df0030, the function value y\geq 0y≥0y, is greater than or equal to, 0.
Hint #77 / 7
We can now complete the sentences:
This is the graph of a {\text{nonlinear function}}nonlinear functionstart text, n, o, n, l, i, n, e, a, r, space, f, u, n, c, t, i, o, n, end text.
The yyy-intercept of the graph is the function value y={{-6}}y=−6y, equals, minus, 6.
The xxx-intercepts of the graph are located at x={2}x=2x, equals, 2 and x={6}x=6x, equals, 6.
The greatest value of yyy is y={2}y=2y, equals, 2, and it occurs when x={4}x=4x, equals, 4.
For xxx between x=2x=2x, equals, 2 and x=6x=6x, equals, 6, the function value {y \, {\geq } 0}y≥0y, is greater than or equal to, 0.
Related content
The rectangular floor of a classroom is 36 feet in length and 24 feet in width. A scale
drawing of the floor has a length of 12 inches. What is the area, in square inches, of
the floor in the scale drawing?
Answer:
96 ft^2
Step-by-step explanation:
If the scale drawings length is 12 and the floors length is 36 we do 36/12 and find out that the scale drawing is 3 times smaller than the actual floor.
So to find the width so we can find the area we divide 24 by 3
24/3=8
then to find area we multiply the length and width
8x12=96
have a great day :D
i would be 8 i did the math on a calculator
Find the measure of the angles and arcs
here have a good day
Answer:
multiple both of them and you get your answer
A bakery sells one cupcake for $2.75 or a dozen cupcakes for $25.80. If you
purchase a dozen cupcakes, how much do you save on each cupcake?
A $23.05
B $3.75
C $2.15
D $0.60
please help !!
Answer:
D $0.60
Step-by-step explanation:
Since a dozen is equal to 12, we will first multiply $2.75 by 12, and we get $33. Now subtract $33 by $25.80 dollars, which is $7.2. Now we know that we saved $7.2 out of a dozen cupcake's, but we have to find how much we saved on each cupcake. So lets divide $7.2 by 12 and we get $0.60. Therefore, you saved $0.60 on each cupcake.
You bought a $1750 worth of stocks in
2012. The value of the stocks has been
decreasing by 12% each year. Let y = the
value of the stocks and let x = the
number of years since 2012. Write and exponential function to represent this situation.
What will your stock be worth in 2020? Round your answer to the nearest cent.
Answer:
f(x) = 1750 x 0.88^x
It will be worth $629.36 in 2020.
Step-by-step explanation:
....how do you solve this? 5 √6 ( 4 - √10 )
Answer:
10.29
Step-by-step explanation:
5 √6 ( 4 - √10 )
√6= 2.45
5x2.45=12.25
√10=3.16
4-3.16=0.84
12.25(0.84)=10.29
A baseball player gets a hit 20% of the times he is at bat. Out of the next 15 times at bat, how many hits can you expect the player to get?
Answer:
...
Step-by-step explanation:
The batsman will hit =20% of 15
= 15/5
= 3
Answer:
3
Step-by-step explanation:
15 x 0.20
Solve for k 9k^3=1125
9k³ = 1125
k³ = 1125 : 9
k³ = 125
k = 5 (because 5³ = 5 * 5 * 5 = 125)
Are the equations m + 3 = -5 and m = -2 equivalent? Explain why or why not?
Answer:
Step-by-step explanation:
When m+3=-5, collection of like terms says; -5-3
Now,-5+-3 = -8 and -2≠-8 hence,they aren't equivalent
The weight of one serving of trail mix is 2.5 ounces. How many servings are there in 25 ounces of trail mix?
what type of phone do i have can u guess by the looks of it
Answer:
apple
Step-by-step explanation:
Answer:
i have a iphone 11...
Step-by-step explanation:
jack tripper has 5 girls in his home. He takes away 3 of them to do something that should not be named how many girls r left
Answer:
uh i think 2 i just want points
Step-by-step explanation:
After purchasing a home for $160,000, the homeowner noticed the suggested value of her house was depreciating (going down) each year by 5% for at least the 6 years she lived there
Answer:
Step-by-step explanation:
It’s c 111,734
how do you solve for x.
Answer:
X=10
Step-by-step explanation:
71+50=121
180-121=59
So (6x-1)=59
(6x-1)=59
+1 +1
6x=60
6x/6=60/6
x=10
PLEASE HELP ILL GIVE BRAINLY!!!
answer is D have a great day :)
Reduce this algebraic fraction.
27c^4d^5
--------------
9c^7d^4
Answer:
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{-m}= \frac{1}{a^{m}}[/tex]
[tex]\frac{27c^{4}*d^{5}}{9c^{7}d^{4}}= 3*c^{4-7}*d^{5-4}\\\\ = 3c^{-3}d^{1}\\\\= \frac{3d}{c^{3}}[/tex]
ANSWER ASAP!! i’ll give brainliest!!
Oy=x-3
Oy=-x+3
Oy=-x-3
Ov=x+3
Answer:
3rd one thank you let me know if u got it rigbt
consider the image that shows a tower anchored by a guy with the guy wire is attached at point b on the tower 119 feet above the ground and then anchored to the ground at point a 120 feet from the base of the tower.
Options are: A) sin0= 119/120, B) sin0= 120/119, C) sin0= 119/169, and D) sin0= 120/169
Answer:
Step-by-step explanation:
[tex]sin\theta=\frac{opposite}{hypotenuse}\\ \\ sin\theta=\frac{119}{169}\ (answer\ C)[/tex]
Which one is the answer
Answer:
2667
Step-by-step explanation:
35 meters wide at the base
20.6 meters tall
h = 20.6 m
slant height s = 27.029798371427 m
side length a = 35 m
lateral edge length e = 32.200310557509 m
1/2 side length r = 17.5 m
volume V = 8411.6666666667 m3
lateral surface area L = 1892.0858859999 m2
base surface area B = 1225 m2
total surface area A = 3117.0858859999 m2
in all explanation, 2667 is the final answer.
hope this helped!
Find the ending
balance:
$3,000 for 30 years
3.5% annual simple
interest
rttrtbtrertbr4gbigbnerunburhurh
10% of what number is 13
Answer:
[tex]\boxed{\textsf{ The required answer is \textbf{130}.}}[/tex]
Step-by-step explanation:
Let us take that number be x whose 10% is 13. So According to Question 10% of x is 13. This implies ,
☯️ [tex]\underline{\underline{\boldsymbol{According\ to\ the\ Question :-}}}[/tex]
[tex]\sf\implies 10\% \ of \ x = 13 \\\\\sf\implies \dfrac{10}{100}\times x = 13 \\\\\sf\implies x =\dfrac{13\times 100}{10} \\\\\sf\implies\boxed{\pink{\frak{ x = 130 }}}[/tex]
En el siguiente mapa, se utilizó la escala 2
130 . Encuentre las distancias reales de Quibdó a la
ciudad de Medellín y de Quibdó a la ciudad de Cali (Sugerencia: mida estas distancias en el mapa
con una regla).ayudaaaaaaaaaaaaaaaaaaaaaaaa
is it a acute, obtuse, or Right
Answer:
Right triangle
Step-by-step explanation:
it has one 90 degree angle
Answer:
Right Triangle
Step-by-step explanation:
Henry is going to invest in an account paying an interest rate of 4.3% compounded
continuously. How much would Henry need to invest, to the nearest dollar, for the
value of the account to reach $820 in 13 years?
Answer:
63.0769230769
Step-by-step explanation:
Answer:
469 this was correct on Delta Math!!!
Step-by-step explanation:
OMG PLEASE HELP IF I DONT PASS THIS I FAIL MY CLASS! HELP! 30 POINTS SHOW WORK IF U NEED TO PLEASE! thank you too anyone(PRETTY PLEASE SHOW HOW YOU DID IT/can you show work)
Answer:
answer is c have a great day :)
Step-by-step explanation:
Carlton and Leon are expert bowlers. Seventy percent of Carlton's rolls are strikes, while 67% of Leon's rolls are strikes. Suppose that Carlton and Leon each bowl 25 games. What is the probability that Leon's proportion of strikes is greater than Carlton's for these games?
Answer:
The probability that Leon strikes is greater than Carlton strike is 0.40905
Step-by-step explanation:
From the question, we have;
The percentage of Carlton's rolls are strikes, [tex]\hat p_1[/tex] = 70%
The number of games Carlton played, n₁ = 25
The percentage of Leon's rolls that are strikes, [tex]\hat p_2[/tex] = 67%
The number of games Leon played, n₂ = 25
Therefore, we have;
[tex]\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}[/tex]
Where;
k₁ = 0.7 × 25 = 17.5
k₂ = 0.67 × 25 = 16.75
[tex]\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685[/tex]
The test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
[tex]Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283[/tex]
From the z-table, we have;
The p-value for Carlton strikes is greater than Leon's strike = 0.59095
∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905
The probability that Leon strikes is greater than Carlton strike = 0.40905
In Las Vegas, the sales tax is 8.375%. How much sales tax would there be on a $750 flat screen TV? *
Answer:
Step-by-step explanation:
Sales tax = $750 × 0.08375 = $62.8125
Answer:
[tex]\boxed {\boxed {\sf \$62.81}}[/tex]
Step-by-step explanation:
To find the sales tax, multiply the price by the tax rate.
[tex]sales \ tax=price * tax \ rate[/tex]
The price of the TV is $750 and the tax rate is 8.375%, but we must convert it to a decimal. Divide by 100 or move the decimal place two spots to the right.
8.375/100=0.08375 or 8.3750⇒.8375⇒ 0.08375Substitute the values into the formula.
[tex]sales \ tax= 750*0.08375\\sales \ tax= 62.8125[/tex]
Round to the nearest cent, which is the hundredth place. The 2 in the thousandth place tells us to leave the 1.
[tex]sales \ tax = 62.81[/tex]
The sales tax on the TV is approximately $62.81.
solve the system by substitution 2x + 5y = - 3 and y = - 1
Answer:
x = 1
y= -1
Step-by-step explanation:
Plug in for y
2x + (5)(-1) = -3
2x - 5 = -3
2x = - 3 + 5
2x = 2
x = 1
Find the missing side of this right
triangle.
Answer: I believe it’s 15
Step-by-step explanation:
Find the surface area of rectangular prism