Answer:
Step-by-step explanation:
2x=x(1.07)^t
2=(1.07)^t
t=log2/(log 1.07) ≈10.2 4 years
so it doubles in approximately in 10.2 years
To solve the problem we must know about Compounding.
What is compounding?Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.
It is given by the formula,
[tex]A = P(1+r)^t[/tex]
where A is the value after t period of time,
P is the value of the asset at the beginning, and,
r is the rate of interest.
The value of the home doubles once each decade.
Given to us
As it is given that the value of a home increases by 7% each year, therefore, the value of the home is compounding every year.
We know the formula of compounding,
[tex]A = P(1+r)^t[/tex]
Why does the value doubles?Now, let's assume a house whose value is 'P' today, therefore, substitute the value of the house in the formula of compounding,
[tex]A = P(1+r)^t[/tex]
Substitute the rate at which the value is increasing,
[tex]A = P(1+0.07)^t[/tex]
We know that in a decade there are 10 years,
[tex]A = P(1.07)^{10}[/tex]
[tex]A = 1.967P\approx 2P[/tex]
As we can see that the value of the home is almost 2 times the 'P' therefore, twice the value of the home at the beginning.
Hence, the value of the home doubles once each decade.
Learn more about Compounding:
https://brainly.com/question/25857212
Can Anybody Help Geometry Work Will Give Brainliest!
Salary: $59,438
Starting age: 24
Ending age: 67
Answer:
2.6 million
have a good day!
PLEASE HELP WITH C---(40 pts) WILL GIVE BRAINLIEST FOR REAL ANSWERS
Answer:
all r same lol
Step-by-step explanation:
please mark me as brainliest
Answer:
A is 2
B is 1/2
C, I'm not really sure what it means
Step-by-step explanation:
Hope this helps! Please mark me brainliest
Pls help I need this answer asap I got 10 min left :(
Answer:
Step-by-step explanation:
Find value of x pleaseee
Answer:
Step-by-step explanation:
you can use the side angle side formula ( a form of Law of Cosines)
a^2 = b^2 + c^2 − 2bc cos(A)
where x = a , then
[tex]x^{2}[/tex] = [tex]5^{2}[/tex] +[tex]3^{2}[/tex] - 2*5*3*cos(107)
[tex]x^{2}[/tex] = 25 + 9 - 30 * (-0.292371)
[tex]x^{2}[/tex] = 25 + 9 -8.7711511
x = 5.0228 cm
HELP ASAP WILL MARK BRAINLIEST
Answer as quickly as you possibly can
Answer:
m = 3/2
Step-by-step explanation:
You want to find the slope, or the change in y coordinates over change in x-coordinates.
The first given point is E(-2, -4)
The second point is F(2, 2)
Coordinates are given in (x, y), so following the equation and computing the x and y coordinates of E - F for both the numerator and denominator:
[tex]\frac{y_2 - y_1}{x_2-x_1} = \frac{-4 -2}{-2 -2} = \frac{-6}{-4} = \frac{3}{2}[/tex]
You could also have went the other way and calculated F - E for the numerator and denominator and get the same answer.
Finally, to check you can also look at the graph through the rise over run (rise/run) method and see that from E, you go up 3 (rise) and to the right 2 (run) to get to the next point on the line.
Find the missing measure of angle b (show all work)
Answer:
12: 138
13: 35
14: 49
Step-by-step explanation:
12: 180-42=138
13: 360-297-28=35
13: 90-41=49
Jeremy earned $33,000 after working for 44 weeks. How much money did Jeremy earn each week? Show Your Work
Answer: jimmy needs a new job
Step-by-step explanation:
What’s the answer?????
Answer:
3
Step-by-step explanation:
d = 2 and c = 3
12d - 7c
12(2)-7(3)
24 - 21
3
Answer:
3
Step-by-step explanation:
12d - 7c
d = 2
c = 3
Substitute the values into the equation.
(12 × 2) - (7 × 3)
= 24 - 21
= 3
Find the sum of all multiples of 7 lying between
500 & 900
Answer:
Sₙ = 57/2 * (504 + 896) = 39900
Step-by-step explanation:
first multiple of 7 after 500 is: 72 *7 = 504
last multiple of 7 before 900 is: 128 *7 = 896
a₁ = 504
aₙ = 896
where n = 128-72 +1 = 57
sum of arithmetic sequence: Sₙ = n/2 * (a₁ + aₙ)
Sₙ = 57/2 * (504 + 896) = 39900
i need help can someone explain this simply
what can run but never walks, has a mouth but never talks, has a head but never weeps, has a bed but never sleeps?
============================================================
this is a riddle I know the answer but I just want to see peoples answer :)
Answer:
A river?
Step-by-step explanation:
The center is (2, 5) and the radius is 9
Give me work plsss
Answer:
[tex](x-2)^2+(y-5)^2=9^2[/tex]
Step-by-step explanation:
We use the equation
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Now we plug in the numbers
(h, k) = center point (2, 5)
This would equal
[tex](x-2)^2+(y-5)^2=9^2[/tex]
PLSS HELPP 25 POINTS AND BRAINLIEST
Answer:
144
Step-by-step explanation:
9*3=27
27*4=108
6^2=36
108+36=144
Answer:
[tex]\Large \boxed{\sf 144 \ ft^2}[/tex]
Step-by-step explanation:
Find the area of the 4 triangles and 1 square and add them.
Area of triangle = base × height × 0.5
Area of square = s²
[tex](9 \times 6 \times 0.5\times 4)+(6^2)=144[/tex]
The hydrogen ion concentration (h+) in a certain cleaning compound is (h+)=3.2x10^-11 use the formula ph=-log(h+) to find the pH of the clean compound the pH is approximately
Answer:
The [tex]pH[/tex] of the clean compound is approximately 10.495.
Step-by-step explanation:
If the cleaning ion concentration of the cleaning compound is [tex][H^{+}] = 3.2\times 10^{-11}[/tex], then the [tex]pH[/tex], no unit, of the compound is:
[tex]pH = -\log_{10} [H^{+}][/tex] (1)
[tex]pH = -\log_{10} (3.2\times 10^{-11})[/tex]
[tex]pH = -\log_{10} 3.2 - \log_{10} (10^{-11})[/tex]
[tex]pH = -\log_{10} \frac{32}{10} +11[/tex]
[tex]pH = -\log_{10} 32 + \log_{10} 10 + 11[/tex]
[tex]pH = -\log_{10} 32 +12[/tex]
[tex]pH \approx 10.495[/tex]
The [tex]pH[/tex] of the clean compound is approximately 10.495.
What are the sine and cosine of 4π/3?
Answer:
See below.
Step-by-step explanation:
Sin (4π/3) = -sqrt(3)/2
Cos(4π/3) = -1/2
if angle B is 50 degrees, what is the measure of angle D? (write the number only)
Answer:
50
Step-by-step explanation:
The mean number of books read
last year by a group of students is
normally distributed with a mean of 10
and a standard deviation of 6. If Austin
is 0.5 standard deviations below the mean
and Kaleigh is 2 standard deviations
above the mean, how many more books
did Kaleigh read than Austin?
Answer:
I thing Kaleigh read 1.5 more than Austin
Step-by-step explanation:
After driving for 2 hours, Juan is 110 miles from his home. After driving 5 hours, he is 275 miles from his home. What is his average rate of change?
Answer:
392
Step-by-step explanation:
The average rate of change will be "55 m/h".
According to the question,
→ After 2 hours (t₁),
Juan is 110 miles (d₁) from his home.
→ After 5 hours (t₂),
Juan is 275 miles (d₂) from his home.
→ The average rate of change will be:
= [tex]\frac{d_1+d_2}{t_1+t_2}[/tex]
By substituting the values, we get
= [tex]\frac{110+275}{2+5}[/tex]
= [tex]\frac{385}{7}[/tex]
= [tex]55 \ m/h[/tex]
Thus the above is the right solution.
Learn more about average rate of change here:
https://brainly.com/question/3677948
Which of the following is the correct mapping for shape A and shape B?
Answer:
b. (x , y) -> (-x , y)
Step-by-step explanation:
Reflection over y axis
3a 1 = 2a
please help me solve this plz
Answer:
a = 0
Step-by-step explanation:
3a * 1 = 2a
3a = 2a
3a - 2a = 2a - 2a
a = 0
Roadsign cast of shadow that is 4 feet tall at the same time a 6 foot man standing next to the sign cast a shadow of those 2.4 feet long right and solve a proportion to find how tall the sign is
Answer:
10 feets
Step-by-step explanation:
Given that:
Road sign shadow (Rs) = 4 feets
Height of man (Hm) = 6
Man shadow (Ms) = 2.4 feets
Height of road sign (Hr) = x
Height of road sign / shadow of road sign = height of man / shadow of man
Hr/Rs = Hm / Ms
x / 4 = 6 / 2.4
Cross multiply :
4*6 = 2.4*x
24 = 2.4x
x = 24 / 2.4
x = 10 feets
Hence, height of road sign = 10 feets
A rectangle has dimensions 8 1/5 in by 13 in. A diagonal of the rectangle forms two matching right triangles. What is the area of one of the triangles.
The area of one of the triangle is ____ in.
Answer:
53.3 in^2
Step-by-step explanation:
Given data
Base B= 13in
Height H= 8 1/5 in= 41/5in
The expression for the area of a triangle is
Area= 1/2 Base * Height
Substitute
Area= 1/2* 13* 41/5
Area= 6.5*41/5
Area= 266.5/5
Area= 53.3 in^2
Hence the area is 53.3 in^2
somebody please help im giving 20 points and a brainliest !
Answer:
Initial is $26000
It's representing decay.
9.1% change each year.
can someone help me please
Answer:
3 peanut 9 choc chip
Step-by-step explanation:
she has 3 peanut butter cookies and 9 chocolate chip cookies
Please answer this
What is the volume of this birdfeeder? Round to the nearest tenth (if possible)
Answer:
14 in^3.
Step-by-step explanation:
The volume = volume of the bottom prism + volume of the top pyramid
= area of base * height of the prism + 1/3 * area of base * height of the pyramid
= 2 * 1.5 * 4 + 1/3 * (2*1.5) * 2
= 3*4 + 1/3 * 6
= 14 in^3.
Simplify (- sqrt x-4)^
Answer:
x-4
Step-by-step explanation:
A negative base raised to an even power equals a positive.
So you're left with sqrt x-4 ^2
Then reduce the index of the radical and the exponent with 2
x-4
Hope this helps
The correct expression will be ( x- 4 ). So option B is right.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression will be solved as:-
E = ( - √(x-4))²
The product of two minuses is positive and the product of the same square root numbers will be the number so the equation will become.
E = -√(x-4) x -√(x-4)
E = x - 4
Therefore the correct expression will be ( x- 4 ). So option B is right.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ2
y= 2x + 3
plz graph it quick.
Use photo math, it will show you a graph of the answer
please help i'll give brainliest
Step-by-step explanation:
24m , 75 m . 54 ,