Answer:
$ 3,018.93
Step-by-step explanation:
This question is asking us to find the Principal.
Hence, the formula for compound interest that is compounded continuously is :
A = Pe^rt
P = Principal/Initial amount
A = Amount after investment = $7500
r = Interest rate = 7% = 0.07
t = time in years = 13 years
Hence,
7500 = Pe^0.07 × 13
P = 7500/e^0.07 × 13
P = 7500/e^0.97
P = $3018.9316803
Approximately P (The amount that should be invested ) = $3,018.93
Five more than the product of a number and three is negative twenty-five.
Alyssa used a scale in which 1 inch represents 100 feet. If the actual landmark has a height of 508 feet, find the height of Alyssa's model in inches.
Answer:
5.08 inches
Step-by-step explanation:
Alyssa used a scale in which 1 inch represents 100 feet. If the actual landmark has a height of 508 feet, find the height of Alyssa's model in inches.
The scale =
1 inch = 100 feet
100 feet = 1 inch
508 feet = x inches
Cross Multiply
100 × x = 508 × 1
x = 508 × 1/100
x = 5.08 inches
The height of the model is 5.08 inches
help
Use the Pythagorean theorem to write an equation for 16^2+12^2=c^2
Answer:
C=20
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2=c^2. So, a=16, and b=12. 16 squared is 256. 12 squared is 144. 256+144=400. 400=c^2. So, the square root of 400=c. and that is 20.
Which physical property do the two rocks share?
A. Shininess
B. Color
C. State
D. Texture
Answer:
Step-by-step explanation:
State promise
The two rocks share the option C. State.
What are Physical Properties?Physical properties are properties of a substance which does not involve any chemical composition or changes in the substance.
Examples are color, density, hardness, and so on.
Given are two rocks.
Clearly, from the picture, we can say that shininess is different. The first rock is more shining.
Clearly colors are also not same.
Regarding the state of both rocks, both rocks are solid. So they share the property of state.
Texture is also different for both. Second one is harder texture.
Hence the physical property that both rocks share is state.
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Please help!! I need the answer and the explanation on how to do this
Answer:
the first one
Step-by-step explanation:
y=3x+2
2x+y=-4
becomes
3x+2=y
2x+4=-y
add them
5x+6=0
5x=-6
x=-5/6
take x and replace it for one equation
y=-8/5
Find the area of the triangle
Answer:
The area of the triangle WYX = [tex]\frac{35}{2}[/tex] = 17[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The area of the triangle WYX is [tex]\frac{1}{2}[/tex]*b*h
We need to find base (b) and height (h)
By counting from the drawing, the base which is horizontal is 7 and the height which is vertical is 5
The area of the triangle WYX is [tex]\frac{1}{2}[/tex]*b*h
The area of the triangle WYX = [tex]\frac{1}{2}[/tex]*7*5 = [tex]\frac{35}{2}[/tex] = 17[tex]\frac{1}{2}[/tex]
Identify the domain and range of the relation!
Can someone help me with 2-4
Nina cuts a 1 3/4 cm piece of paper from a strip measuring 2 7/8 cm. How much paper is left?
Answer with solution pls :]
Answer:
1.125
Step-by-step explanation:
1 and 3/4 = 1.75
2 and 7/8 = 2.875
So
2.875 - 1.75 = 1.125
A factory can produce 18,000 toy cars in an 8 hour shift. At this rate, in how many shifts could the factory produce 90,000 toy cars? *
Answer
In five shifts, the factory could produce 90,000 toy cars.
Step-by-step explanation:
Multiply 18,000 by 5 to get 90,000 cars.
A bag contains 36 calculators. This number is 75% of the number of calculators that can fit in the bag. How many calculators can the bag hold when filled?
Answer:
48
Step-by-step explanation:
Let X represent the total number of the calculator, then we can form an equation from the explanation of the question as
X × 75/100=36
75x=36×100
Making X the subject of the formula we have,
X=3600/75
X=48
Hence, 48 calculators can the bag hold when filled
Marcus can choose between a monthly salary of $1,500 plus a 5.5% commission of sales or $2,000 plus a 3% commission of sales. He expects about $8,000 in sales each month. Which salary option should he choose?
Answer:
2,000 plus a 3% commision :))
Step-by-step explanation:
if f(x) = 3x-2 and g(x) =2x+1 find (f+g)(x)
A. 5x-1
B. 5x-3
C. x-1
D. x-3
your car gets 25 miles per hour and you want to go on a 400 mile road trip right now gas costs 2.59 per gallon how much would the gas for you road trip cost??
Answer:
40.96
Step-by-step explanation:
25 400
2.56 ?
400*2.56
=1024
1024/25
=40.96
What is the binary number for 12
Step-by-step explanation:
[tex]12=8+4=2^3+2^2=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\12_{10}=1100_2[/tex]
He cafeteria at Midtown Middle School surveyed 575 students about their favorite food. If 8% of the students surveyed liked chicken, how many students said that chicken is their favorite food?
Answer:
46.08 students said that chicken is their favorite food.
Step-by-step explanation:
Let X denote the number of students who liked chicken.
The proportion of students who liked chicken is, p = 0.08.
About n = 576 students were surveyed about their favorite food.
Every student's answer was independent of the others.
Thus, the random variable X follows a binomial distribution with parameters n = 576 and p = 0.08.
The probability mass function of X is:
[tex]P(X=x)={576\choose x}(0.08)^{x}(1-0.08)^{576-x};\ x=0,1,2,3...576[/tex]
Then expected number of students who said that chicken is their favorite food is:
[tex]E(X)=np\\\\=576\times0.08\\\\=46.08[/tex]
Thus, 46.08 students said that chicken is their favorite food.
Will give brainliest! The line passing through points (4, 0) and (–2, 1) has a slope of:
-1/6
Hope this helped!
Answer:-1/6
Step-by-step explanation:
pls help find the inequality represented by the graph
Answer:
use the linear equation of a line
equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
now u do the rest
The cost of 5 pounds of vegetables is $7.55. What is the constant of proportionality that relates the cost of dollars, y,
to the number of pounds of vegetables, x?_(Write a numeric value in decimal form. Do not include units)
Answer:
1.51
Step-by-step explanation:
[tex]y[/tex] = Cost in dollars of vegetables
[tex]x[/tex] = Number of pounds of vegetables
[tex]y\propto x[/tex]
[tex]\Rightarrow y=kx[/tex]
where k = Constant of proportionality
[tex]k=\dfrac{y}{x}[/tex]
In one case
[tex]y = 7.55\$[/tex]
and [tex]x = 5\ \text{pounds}[/tex]
[tex]k=\dfrac{7.55}{5}\\\Rightarrow k=1.51[/tex]
The constant of proportionality is 1.51.
Which fraction is not equivalent to 9/12 ?
Answer:
16/24 is the correct answer.
Step-by-step explanation:
9/12 = 3/4
24/32 = 3/4
6/8 = 3/4
15/20 = 3/4
16/24 = 2/3
Answer:
D. 16/24
Step-by-step explanation:
If you simplify 9/12 = 3/4 because (9/12) ÷ 3
So let's just simplify the rest.
15/20 = 3/4
(15/20) ÷ 5 = 3/4
24/32 = 3/4
(24/32) ÷ 8 = 3/4
6/8 = 3/4
(6/8) ÷ 2 = 3/4
So the answer is 16/24
16/24 = 2/3
Hope this helps ya!!!
are the adjacent angles in a parallelogram congruent always, sometimes, or never
Answer:
always
Step-by-step explanation:
if something parallel then it never touch each other and are opposite of each other
Plot the line for the equation on the graph.
y−2=−2(x+4)
Answer:
(-3,0) and (0,-6)
Step-by-step explanation:
A 7 inch candle burns at a rate of 2 inches per hour. Which equation represents the
relationship between y, the height of the candle, and x, the number of hours the
candle burns?
Answer:
b
Step-by-step explanation:
what is the input value other than -7 for which h(x)=3
Answer:jrntker,fgv;rmjhnopgykjpftg.l/;[]ref
Step-by-step explanation:
wem,yk6iotfkmmkgjjjkdlmeruijtnmgjhudjmv n
Which expression is equal to 5 6 (6 is an exponent)
6x5
36x6x6x6
25x5x5x5
125x125
Answer:
125 x 125
Step-by-step explanation:
I got it correct on my i ready pls trust.
-6(2+a)=-48 what is the value for a
Answer:
6
Step-by-step explanation:
-6(2+a) = -48
-6 × 2 + -6 × a = -48
-12 - 6a = -48
-6a = -48 + 12
-6a = -36
a = -36/-6
a = 6
hope you understood!
HELPPP
Timmy and Sam ran in a marathon. Timmy ran at a constant speed of 5 miles per hour. Sam ran at a
constant speed of 4 miles per hour and had a head start of 2 miles. Determine where Timmy and Sam will
meet.
Answer:
they will meet 10 miles out after 2 hours
Step-by-step explanation:
It costs $0.50 to download an individual song and $4 to download an album.
Jada has $15 to spend downloading music.
Complete the table showing three ways Jada can spend $15 downloading individual songs and albums.
Answer:
Below are the three ways.
Hope I helped :)
The completed table is given below and the equation for the given situation is 15=4a+0.50s.
Given that, it costs $0.50 to download an individual song and $4 to download an album.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Jada has $15 to spend downloading music.
Let s be number of songs and a be number of albums
So an equation for the given situation is 15=4a+0.50s
From table, in row 1
Given number of songs is 6
15=4a+0.50(6)
⇒ 15=4a+3
⇒ 4a=12
⇒ a=3
From table, in row 2
Given number of albums is 1
15=4(1)+0.50s
⇒ 0.50s=11
⇒ s=11/0.50
⇒ s=22
From table, in row 3
Given number of albums is 30
15=4a+0.50(30)
⇒ 15-15=4a
⇒ a=0
Hence, the completed table is given below and the equation for the given situation is 15=4a+0.50s.
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It rained all day on Mother's Day and the temperature dropped fourteen and seven tenth degrees. The next day the rain stopped and the temperature rose ten and nine tenths degrees. If the temperature at the beginning of Mother's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Mother's Day?
PLEASE ANSWER< I WILL GIVE YOU BRAINLIEST
Answer:
62 Degrees
Step-by-step explanation:
65 8/10 - 14 7/10 = 51 1/10
51 1/10 + 10 9/10 = 62
10. ''Saving electricity in our homes is saving our money.'' Mention five ways of saving energy.
Answer:
Some ways of saving energy include : turn off the fan / lights when you leave a room, hang your clothes out to dry, don't run your dishwasher half full, turn off the water when your not using it, don't stand in front of an open refrigerator door. Hope this helps :)
What's the answer to this question because im having trouble
Answer:
The Answer Is A The First One On The Very Left 5/12 - 3/12