The rate of growth will she need to achieve her goal is 2.8%
The formula for finding the compound amount is expressed as:
[tex]A =P(1+\frac{r}{n} )^{nt}[/tex]
P is the amount invested = $25000
t is the time in years = 25 years
A is the amount = $125000
r is the rate in %
Substitute the given parameters into the formula to have:
[tex]125000 =25000(1+r )^{25}\\5 =(1+r)^{25}\\log5=25log(1+r)\\log(1+r)=\frac{log5}{25} \\log(1+r)=0.02796\\1+r = e^{0.02795}\\1+r=1.0283\\r = 1.0283 -1\\r = 0.0283\\[/tex]
Hence the rate of growth will she need to achieve her goal is 2.8%
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4. SCHOOL LUNCH In 2015, Ed spent $800 buying lunches. In 2017, he spent $300 buying lunches. What was the rate of change from 2015 to 2017?
A. –$250 per year
B. $125 per year
C. –$125 per year
D. $250 per year
please help me with this
Answer:
14 Is a divident of 7 and 14
Can somebody answer this for me?
Given: passes though (6,3) and m=(5/3).
Ok so we know that y = mx + b is the equation of a line and we have m and we can find b via substitution.
y = mx + b
3 = (5/3)(6) + b
3 - (5/3)(6) = b
b = -7
Great now we know b so we can construct the rest of the linear function.
y = f(x) = (5/3)(x) - 7
You can always check the answer by plugging 6 into the x variable.
f(6) = (5/3)(6) - 7 = 3
(6,3) checks out.
End is making some pancakes for himself and five friends. The ingredients he needs are shown in the list below.
Pancakes (serves 2)
2/3 milk
3/4 flour
3/2 sugar
1 Egg
a. How many cups of flour will Ed need?
b. How many teaspoons of sugar will Ed need?
Answer:
a. 2 1/4 cup of flour
b. 4 1/2 tsp. off sugar
Step-by-step explanation:
Since the recipe serves 2, the answer given will feed 5 (6) people.
HELP PLEASE!!
Use the drop-downs to complete the sentences about this arithmetic sequence.
32, 41, 50, ...
The common difference is ___.
The fourth term is ______
The fifth term is ______
Answer:9,59,68
Step-by-step explanation:
Just got it right
Find the slope of the line that passes through:
(-12,-5) and (0, -8)
Calculator
Which ordered pair is the solution to the system of equations?
1 -5x - 3y = 12
Y=x-12
0 (0, -4)
0 (-6, 6)
O (1, -11)
O (3,-9)
[tex] \text{Given : Which ordered pair is the solution to the system of equations?} \\ \\ \begin{cases}-5x - 3y = 12 \\ y - x = 12 \end{cases} [/tex]
[tex] \text{Solution : According to the question, here let's take these variables as two} \\ \text{equations then get their value and finally get the answer.} \\ \\ \sf {1}^{st} \: equation : \\ \leadsto \frak{-5x - 3y = 12} \\ \\ \leadsto \frak{-5x = 12 + 3y} \\ \\ \leadsto \frak{x= \frac{12 + 3y}{-5}} \qquad \sf ...eq(1) \\ \\ \sf 2^{nd} \: equation : \\ \leadsto \frak{y = x - 12} \qquad \sf ...eq(2) \\ \\ \underline{ \frak{finding \: x }} : \\ \\ \dashrightarrow \frak{x= \frac{12 + 3y}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3(x - 12)}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3x - 36}{-5}} \\ \\ \dashrightarrow \frak{-5x= 12 + 3x - 36} \\ \\ \dashrightarrow \frak{-5x - 3x= - 24} \\ \\ \dashrightarrow \frak{-8x = - 24} \\ \\ \star \quad \underline{ \boxed{ \green{ \frak{x = 3}}}} \\ \\ \underline{ \frak{ getting \: y}} : \\ \\ \dashrightarrow \frak{y = 3 - 12} \\ \\ \star \quad\underline{ \boxed{\blue{ \frak{y = - 9}}}} \\ \\ [/tex]
[tex] \green{ \mathbb{HENCEFORTH, \: THE \: PAIR \: IS \: \pink{\frak{ (3,-9)}}}}[/tex]
f(x)=x^2-(7/2)x-.5 and g(x)= 2-(2/x)
Answer:
23
Step-by-step explanation:
2 short questions
Please help
Answer:
b c = 5.25p this is the answer
For the first problem shown the answer is number B.
It is B because we our always going up by $5.25
For our second one it isn't a function,
it isn't a function because it follows the same rule through-out it besides at the end of it.
Which choices are equivalent to the expression below? Check all that apply.
4./6
O A. 96
B. 132.5
I C. 4../36
O D. 116.6
E. 196
OF V24
SUBMIT
Use Pascal's Triangle to determine the sixth term of the expansion of (x + 5)^7
Pascal's triangle up to the 7th row (starting with 0)
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
Then the 6th term in the expansion of (x + 5)⁷ is
7 • x¹ • 5⁶ = 109375x
The basic wage earned by a truck driver for a 40-hour week is $560.00
(i) Calculate his hourly rate
For overtime work, the driver is paid one and a half times the basic hourly rate.
(ii) Calculate his overtime wage for 10 hours overtime.
(iii) Calculate the TOTAL wages earned by the truck driver for a 55-hour week.
Answer:
i: 14
ii: 140
iii: 770
(In question iii I didn't put the 10 hours overtime in it and if I put it its 910.
Step-by-step explanation:
i: 650/40=14
ii: 14x10=140
iii: 14x55=770
How much flour and vanilla would you need for 5 batches of cookies
Answer: 25 cups of flour & 10 teaspoons of vanilla
Step-by-step explanation: A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.
5 x 5 is 25 cups of flour
2 x 5 is 10 teaspoons of vanilla
Does anyone know the solution
Answer and explanation in the image.
Evaluate the expression 61
Answer:
61 + 8 is 69 and that is a funny number
Answer: if i get this correct mark me the brainlist promise
Step-by-step explanation:6+x=12To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.
Example
Calculate the following expression for x=3 and z=2
6z+4x=?
Solution: Replace x with 3 and z with 2 to evaluate the expression.
6z+4x=?
6⋅2+4⋅3=?
12+12=24
25.3 + x= 32 what is the answer to this problem
Answer:
6.7
Step-by-step explanation:
Answer:
6.700
Step-by-step explanation:
hope this helped
Some home computers can do a calculation in 2 x 10 ? seconds. Write this number in standard form.
2 × 10 = 20
see Picture.
An electrician must use 15 miles of electrical cable between electric poles. How many yards of cable will be used?
13,200
26,400
39,600
79,200
158,400
Answer:
B) 26,400
An electrician must use 15 miles of electrical cable between electric poles. How many yards of cable will be used?
13,200
26,400
39,600
79,200
158,400
26400 yards of cable is used.
the answer is B) 26,400
What is unit conversion?
Unit conversion is the process of changing a physical quantity from one unit of measurement to another. For example, converting kilometers to miles, Celsius to Fahrenheit, or liters to gallons. The process involves multiplying or dividing the original measurement by a conversion factor, which is a ratio of equivalent units
To convert miles to yards, we need to multiply by the conversion factor of 1 mile = 1760 yards.
15 miles * 1760 yards/mile = 26,400 yards
So, the electrician will use 26,400 yards of cable.
Hence, 26400 yards of cable is used.
the answer is B) 26,400
To learn more about the unit conversion, visit:
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Write an equation with a slope of 2 and a constant of -5
In △ABC, m∠A = 75° and m∠C = 20°, What is m∠B?
Answer:
30 degree ok please make me brainliest
Answer:
∠ B = 85°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ A + ∠ B + ∠ C = 180° , substitute values
75° + ∠ B + 20° = 180°
∠ B + 95° = 180° ( subtract 95° from both sides )
∠ B = 85°
Answer soon please 10 points Easy math
Answer:
1 and -7
your first choice in the list
Step-by-step explanation:
yeah, this one was fun.
Hep help help help please please
Answer:
7,6
Step-by-step explanation:
Start from the horizontal line and then the vertical line
Answer:
according to the y and x axis rule the x comes first which means that 6 should go in the green box and 7 in the grey
-6/5 - (-3/8)
Help please
Answer:
-0.825
Step-by-step explanation:
Did not know the options so do not know if this is right or not.
Here is ur answer.
- BRAINLIEST answerer
Simplify the expression.5(z+4)+5(2−z)
Answer:
30
Step-by-step explanation:
Hope this helps!!! :))
The legs of a right triangle are √5 feet and square root √11 feet long. How long is the hypotenuse?
[tex]v^{2}[/tex]Answer:
4 feet long
Step-by-step explanation:
Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
In this problem, a and b are the legs of the triangle, while c is the hypotenuse
Plugging the values of [tex]\sqrt{5}[/tex] and [tex]\sqrt{11}[/tex] to the equation you get:
5 + 11 = [tex]c^{2}[/tex]
Therefore, [tex]c^{2}[/tex] = 16, and by taking the square root you find that c, or the hypotenuse, must equal 4.
please work QUICK its a test
i need help friends on my math problem
Answer:
the answer is a
you will receive a golden cookie and 30 points if you help me
Answer:
A: -5/4 ; B: -0.5 ; C: 2
Step-by-step explanation:
Its the number line which shows.
Answer:
B = -0.5
A= -5/4
C= 2
Brainlest
Step-by-step explanation:
PLS DO THE MATH INT HE PICTURE
Answer:
Area = 100cm²
Perimeter = 48cm
The function f(x) = -2x^5 + x^3 - 7x is an odd function. Which rule is satisfied by this function?
A. f(x) = f(-x)
B. f(x) = -f(x)
C. -f(x) = f(-x)
D. f(x) = f(x)^-1
[tex]f(x) = -2x^5 +x^3 -7x \\\\-f(x) =-(-2x^5 +x^3 -7x) = 2x^5 -x^3 +7x = x(2x^4 - x^2 +7)\\\\f(-x) = -2(-x)^5 + (-x)^3 -7(-x) = 2x^5 -x^3 +7x = x(2x^4 -x^2 +7) \\\\\\\text{Hence,} ~ -f(x)=f(-x)[/tex]