Using an exponential equation, it is found that it will be 7.3 years before the value is doubled.
The equation for an increasing exponential function is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial amount.r is the growth rate, as a decimal.In this problem:
Gains 10% each year, thus [tex]r = 0.1[/tex].The doubling time is t for which [tex]A(t) = 2A(0)[/tex], then:
[tex]A(t) = A(0)(1.1)^t[/tex]
[tex]2A(0) = A(0)(1.1)^t[/tex]
[tex](1.1)^t = 2[/tex]
[tex]\log{(1.1)^t} = \log{2}[/tex]
[tex]t\log{1.1} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.1}}[/tex]
[tex]t = 7.3[/tex]
It will be 7.3 years before the value is doubled.
A similar problem is given at https://brainly.com/question/23008760
The average person’s speed when riding a bike along a street is 18 kilometers per hour. What conversion factor can be used to convert this speed to meters per hour?
StartFraction 1 kilometer Over 1,000 meters EndFraction
StartFraction 1 meter Over 1,000 kilometers EndFraction
StartFraction 1,000 meters Over 1 kilometer EndFraction
StartFraction 1,000 kilometers Over 1 meter EndFraction
Answer:
The given average speed = 18 km per hour
Now, as we know from the conversion parameters:
1000 meters = 1 km
or 1 meter = ( 1/ 1000) kilometer
So, we can use the above information to convert average speed into meters per hour.
The given speed = 18 km / hr = 18 x (1000) meters /hr
= 18,000 meters / hr
Step-by-step explanation:
Please help me 4⅗ ÷ ⅕ =
Answer:
23
Step-by-step explanation:
just used a calculator
Can someone help me on this question! It’s really confusing
is that all of the question?
Help Help Help!!!!!!
Carrie's starting annual salary is $54,020. At the beginning of each new year, she recieves a 2,535 raise. What will her salary be after 15 years?
A. $86,975
B. $89,510
C. $92,045
D. $98,510
Answer:
Step-by-step explanation:
B is the answer
Answer:
C is the answer
Step-by-step explanation:
2,535 x 15= 38,025 + $54,020= $92,045 or C
Brainliest will be appreciated thank you!
each big square below represents one whole. What percent is represented by the shaded area
What is the rate of change for 1
Step-by-step explanation:
A rate of change is a rate that describes how one quantity changes in relation to another quantity. The rate of change is 401 or 40 . This means a vehicle is traveling at a rate of 40 miles per hour.
A truck can be rented from Company A for $110 a day plus $0.50 per mile. Company B charges $80 a day plus $0.75 per mile to rent the same truck. Part A: Write an equation to find the number of miles in a day at which the rental costs for Company A and Company B are the same. Part B: Solve the equation.
m=number of miles
A=$110+$0.50m
B=$80+$0.80m
$110+$0.50m=$80+$0.80m Subtract ($80+$0.50m)
$30=$0.30m Divide each side by $0.30
100=m ANSWER: More than 100 miles must be driven per day to make Company A a better deal.
Help with this question, ONLY NEED TO DO NUMBER 5!!
Answer:
Kendra stayed constant after two hours: meaning she could have went out or done whatever. She has stayed constant until (5,100) and then at (6,45) she started to go downhill.
Basically the graph goes (0,210) starting point; (1.5,155) started to go downhill; (2,100) stayed CONSTANT until (5,100) and at (6,45) she went downhill.
Yk for the answer hoped it helped :D
Step-by-step explanation:
Which represents the solution to the inequality 4x + 7(3x - 3) ≤ 9 - 5x in interval notation
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 1
Interval Notation:
( − ∞, 1)
4. 4^6x4^3
4^9 4^18 12^9 64^9
plot 1 1/2 and its opposite on the number line
Answer:
the opposite of 1 1/2(1.5) is -1 1/2(-1.5)
Step-by-step explanation:
Help help help close
Answer:
x = 3.2
Step-by-step explanation:
Divide 400 by 125 to get x.
Answer:
x = 31.25%Step-by-step explanation:
[tex]125 = x \: \: . \: \: 400 \\ \frac{125}{400} \times 100\% = x \\ 31.25\% = x[/tex]
Player I has two coins. One is fair (probability 1 2 of heads and 1 2 tails) and the other is biased with probability 1 3 heads and 2 3 tails. Both players know these probabilities. Player I knows which coin is fair and which is biased. He selects one of the coins and tosses it. The outcome of the toss is announced to II. Then II must guess whether I chose the fair or biased coin. If II is correct there is no payoff. If II is incorrect, she loses 1.
Required:
Draw the game tree. Be sure to indicate the information sets.
Answer:
Hi please make me brainly
Step-by-step explanation:
please
Michael wants to save $46,000.00 for a down payment on a home. How much will he need to invest in an account with 6.1% APR, compounding daily, in order to reach his goal in 7 years? Round the answer to the nearest cent
Step-by-step explanation:
Simple Interest
Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.
four rolled-up dollar bills seeming to grow out of dirt, with a miniature rake lying in between them
SIMPLE ONE-TIME INTEREST
I
=
P
0
r
A
=
P
0
+
I
=
P
0
+
P
0
r
=
P
0
(
1
+
r
)
I is the interest
A is the end amount: principal plus interest
P
0
is the principal (starting amount)
r is the interest rate (in decimal form. Example: 5% = 0.05)
EXAMPLES
A friend asks to borrow $300 and agrees to repay it in 30 days with 3% interest. How much interest will you earn?
Show Solution
The following video works through this example in detail.
One-time simple interest is only common for extremely short-term loans. For longer term loans, it is common for interest to be paid on a daily, monthly, quarterly, or annual basis. In that case, interest would be earned regularly.
For example, bonds are essentially a loan made to the bond issuer (a company or government) by you, the bond holder. In return for the loan, the issuer agrees to pay interest, often annually. Bonds have a maturity date, at which time the issuer pays back the original bond value.
EXERCISES
Suppose your city is building a new park, and issues bonds to raise the money to build it. You obtain a $1,000 bond that pays 5% interest annually that matures in 5 years. How much interest will you earn?
Show Solution
Further explanation about solving this example can be seen here.
solve pls brainliest
Answer:
1) 2
2) 1
3) 8
Step-by-step explanation:
brainliest plz
solve pls brainliest
Answer:
0÷3= 0
0/5= 0
Step-by-step explanation:
sorry if I did it wrong
Anything would help :))
Step-by-step explanation:
1.
x = number
x/4 = x/3 - 1
x/3 - x/4 = 1
4x/12 - 3x/12 = 1
x/12 = 1
x = 12
2.
the numerator is the top (it gives the number of the parts of the whole that are combined in the fraction).
the denominator is the bottom (it says in how many and therefore how small parts we split the whole).
x = numerator
y= denominator
fraction is x/y
y = x + 2
(x+3)/(y+3) = 23
x + 3 = 23(y + 3) = 23y + 69
x = 23y + 66
now we use the first equation (y = x + 2) and substitute it into the last equation :
x = 23(x + 2) + 66 = 23x + 46 + 66 = 23x + 112
x = -112/22 = -56/11
y = -68/22 = -34/11
the original fraction is
x/y = -56/11 / -34/11 = -56/11 × -11/34 = 56/34 = 28/17
3.
in 1 hour the large pipe has done 1/3 of the work. and the small pipe 1/6 of the work.
so, in total in 1 hour we get (1/3 + 1/6) done.
what factor do we need to multiply (1/3 + 1/6) to get 1/1 (the whole work) ?
x(1/3 + 1/6) = 1
x(2/6 + 1/6) = 1
x(3/6) = 1
x × 1/2 = 1
x = 2
it takes both pipes together 2 hours to empty the pool.
4.
very similar to 3.
we are just using days instead of hours.
in 1 day Erwin gets 1/2 of the work done and Ana 1/5 of the work. so, together, 1/2 + 1/5 of the total work in one day.
so, how many days to get 1/1 (the whole work) done ?
x(1/2 + 1/5) = 1
x(5/10 + 2/10) = 1
x(7/10) = 1
7x = 10
x = 10/7
it takes them together 10/7 days to mow the whole lawn.
if x=-y+3 and 3x-2y=-1 what is the value of x and y
Answer: x=1, y=2
Step-by-step explanation:
3(1) - 2(2)=-1
ANSWER THE QUESTION. THE IMAGE IS THE QUESTION.
Answer:
18, because the number of catalogs is 72/5 ÷ 4/5
Step-by-step explanation:
The answer is the last option because in total, the shelf is 72/5 inches wide. Given each catalog is 4/5 inch wide, and we want to find how many catalogs can fit in the shelf, we have to divide 72/5 by 4/5. When we divide 72/5 by 4/5, we get 18.
Answer:
18
Step-by-step explanation:
Because 72/5 by 4 over 5
72/4
= 18
Hope this helps :) Pls mark brainliest if you want
solve pls brainliest
In coordinates, the first number is the x and the second one is y. In (4,2), 4 is the x and 2 is the y. The x axis goes from left to right and the y axis goes from up to down.
Lannie has 5/12 cups of chocolate chips. She needs 1/34 cups to make one batch of chocolate chip cookies. How many batches of chocolate chip cookies can she make?
Answer:
14 batches
Step-by-step explanation:
take 5/12 and 1/34 and find the lowest common factor (204) mult 5/12 by 17
85/204 and 1/34 by 6 is 6/204 figure out how many times 6 goes into 85 about 14.17
so 14 full batches
Write numbers in the number grid to make it correct 4+?+9+?+?= 35
Hi
Answer:
4+5+9+8+9=35
Step-by-step explanation:
nvm about that
Answer:
Below.
Step-by-step explanation:
4 + 5 + 9 + 8 + 9 = 35.
What is the slope of the line?
Answer:
-3
Step-by-step explanation:
we take two points to find slope m
lets take ( 1, 4) and ( 2, 1)
then m=(1-4)/(2-1)
m=(-3)/(1)
m= -3
Write the converse inverse and contrapositive of the statement below
Answer:
c because if the converse is true then the inverse is also logically through
Help!! I’m not sure what to do
Answer:
h=23
Step-by-step explanation:
triangle equals 180 degrees
180-40=140
140/4=35
Determine the number of terms n in each arithmetic series
a1 = -29, an = -119, Sn = -740
Please help :,(
Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite
3 x (8 + 4) ?
Yes
No
If yes, fill in the blanks below.
3 x (8 + 4) - (0 * D + xD
X 5
?
Answer:
yes
Step-by-step explanation:
3(8+4)
(3×8)+(3×4)
24+12
36
find the y-intercept y= -3/5x-1
The satay in of a line is written as y = slope(x) + y intercept.
In the given equation the y-intercept is -1
find the values of x and y
Answer:
x = 68°, y=14
Step-by-step explanation:
∵ m║n
∴ m∠x = 180 - m∠112
m∠x = 68°
∵ ∠x and ∠(5y - 2) are vertically oppose
∴ m∠(5y - 2) = m∠x
m∠(5y - 2) = 68
Make equation
5y - 2 = 68
5y = 68 + 2
5y = 70
y = 70/5
y = 14
Hope this helps
Step-by-step explanation:
• The supplement of the angle with the measure of 112° is :
[tex]\bf x + 112 = 180 \\ \bf x = 180 - 112 \\ \bf \boxed{ \color{#FF0000}x = 68 }[/tex]
This angle of 68° and the angle sign x° are in angular positions.
Internal alternators
The lines m and n are parallel, these angles have the same measure.
The marking of the angle x and the marking of the angle (5y-2)° are opposite to the vertex.
They have the same measure:
[tex]\bf 5y - 2 = 68 \\ \bf 5y = 68 + 2 \\ \bf 5y = 70 \\ \bf y = 70 \div 5 \\ \bf \boxed{ \color{#FF0000}y = 14 }[/tex]
UWUWUWUWIWUWUWUUWWUWUWUUWWUUWUWWUUWUWUWWUUWU2UWUWUWUWUWUWUWUWUWUUWUWUWU
Answer:
UWUWUWUUWUWUWUWUUWUWUW
Step-by-step explanation:
UwU OwO