Answer:
$3
Step-by-step explanation:
By investing $2,000 Bobby will earn $60 interest
∴By investing $1 Bobby will earn =$(60/2000) interest
so,
By investing $100,
He will earn =$ {(60/2000 ) .100}
=$3
If Bobby invests his money for one year at the same interest rate as his brother, then he will earn $3 amount.
Thus, option A $3 is correct.
Given that:Amount Bobby wants to invest = $100Time for which Bobby wants to invest = 1 year.Amount his brother invested = $2000Time interval for which his brother invested money = 1 year.Simple interest earn by his brother = $60To find:Interest that Bobby will earn at same interest rate as his brother after 1 year of investment of $100.
Calculations:If someone invests P amount for T years with simple interest rate R% per year, then the simple interest that that person will earn is given by:
[tex]SI = \dfrac{P \times R \times T}{100}[/tex]
Putting values of P, R and T of Bobby's brother's investment, we have:
[tex]60 = \dfrac{2000 \times 1 \times R}{100}\\\\6000 = 2000R\\\\R = \dfrac{6000}{2000} = 3\%[/tex]
At that rate, the SI for Bobby's $100 investment for 1 year is:
[tex]SI = \dfrac{100 \times 3 \times 1}{100} = \$3[/tex]
Thus, Bobby will get $3 as interest.
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The difference between a number and 10
Answer:
[tex]10 - x[/tex]
Step-by-step explanation:
the difference between a number and 10 simply means ,that number minus 10.
Let that number be x
therefore the difference between x and 10 is written as
[tex]x - 10[/tex]
Answer:
x-10
Step-by-step explanation:it simply means to subtract a number from ten
joseph read 12 books in 2 months. what was his rate of reading in books per month ? Express your answer in simplest form
Answer: He read 6 books in 1 month. 6:1 is the unit rate
Step-by-step explanation:
12/2 = 6
Hakeem subtracted 8 from a number then multiply the difference by 5 the result was 20 write and solve an equation to find the number X
Answer:
(×-8)5=20
(5×-40)=20
5×(-40+40)=(20+40)
5×=60
5×÷5=60÷5
×=12
Based on the equation given, the value of the number is 12.
Let the number be represented by x.
Based on the information given, the equation to solve the question will be:
(x - 8) × 5 = 20
5x - 40 = 20
Collect like terms
5x = 20 + 40
5x = 60
Divide both side by 5
5x/5 = 60/5
x = 12
Therefore, the number is 12.
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k/7=32/56? i have no idea how to solve this
k/7=32/56
To solve for k, cross multiply:
(k x 56) = (7 x 32)
Simplify:
56k = 224
Divide both sides by 56:
k = 224 / 56
k = 4
Simplify: (sin x)/(1+cot^2 x)
Answer:
sin³x
Step-by-step explanation:
Using the trigonometric identities
1 + cot²x = csc²x
cscx = [tex]\frac{1}{sinx}[/tex]
Given
[tex]\frac{sinx}{1+cot^2x}[/tex]
= [tex]\frac{sinx}{csc^2x}[/tex]
= [tex]\frac{sinx}{\frac{1}{sin^2x} }[/tex]
= sinx × sin²x
= sin³x
Elijah walked 6 miles in 3 hours. What was his walking rate in hours per mile?
Answer: One hour/two miles
Step-by-step explanation:
Distance=Rate*Time
Distance=6 miles
Time=3 hours
Rate is unknown
6Miles=3Hours(Rate)
6Miles/3Hours=Rate
2Miles/1hour
For each hour that passes, he can walk two miles
complete 2x+21= using only the communtative property of addition
Answer:
-9.5
Step-by-step explanation:
2x + 21 =
2x + 20 = 1 (C.P)
2x = 1-20
2x = - 19
x= - 19/2
x = - 9. 5
A regular polygon has 24 sides. What's the measure of each exterior angle?
A. 18°
B. 15°
C. 20°
D. 16°
Hey!
----------------------------------------
Explanation and Solution:
A polygon has to at least have 360° total to form a polygon.
Since there are 24 sides you divide 360 by 24.
360 / 24 = 15
----------------------------------------
Answer:
The measure of each exterior angle has to be at least 15° to form a complete polygon of 24 sides.
----------------------------------------
Hope This Helped! Good Luck!
An art exhibition contains paintings, sculptures, and drawings. 1/4 of the works on display are sculptures, 2/5 are paintings, and the remainder are drawings. What fraction of the work on display are drawings?
Answer:
The fraction of the work that are drawings is [tex]\frac{7}{20}[/tex]
Step-by-step explanation:
we have that
100%=100/100=1
we know that
The sum of the fractions of the works must be equal to 1
Let
x -----> the fraction of the work that are drawings
so
[tex]1=\frac{1}{4}+\frac{2}{5}+x[/tex]
Solve for x
[tex]1=\frac{13}{20}+x[/tex]
Subtract 13/30 both sides
[tex]x=1-\frac{13}{20}[/tex]
[tex]x=\frac{7}{20}[/tex]
PLEASE HELP ME I WILL GIVE YOU BRAINLIEST
Answer:
Equation of the line is y=-x+3
Rewritten as an inequality is y ≤ -x+3
Step-by-step explanation:
You find the slope by doing rise over run which ends up being -1/1, so just -1.
The y-intercept is 3.
Slope intercept form is y=mx+b, so y=-x+3 is the answer in slope intercept.
Then ≤ is used because the line is going down and it's shaded to the left, also the line isn't broken, it's solid which means it's equal to, so it would be less than or equal to.
You deposit $750 in an account that earns 7.5% simple interest. How much will be in the account after 5 years?
Answer:
$1,031.25 will be in the account
Answer:
$1031.25.
Step-by-step explanation:
The formula for simple interest is
I = PRT/100 so substituting:
I = 750 * 7.5 * 5 / 100
Interest I = $281.25.
Amount in account = 750 + 281.25
= $1031.25.
Figure 1 is congruent to Figure 2.
Figure 1
K 3.5 cm L
Figure 2
5 cm
T
4.5 cm
3 cm
2 cm
What is the length of NP?
A. 2 cm
B, 3 cm
C: 3.5 cm
D, 4.5 cm
E, 5 cm
Answer:
E.) 5 cm
Step-by-step explanation:
The shapes are congruent and are the same size, side TU is the same as NP. If TU is 5, then NP is 5.
Answer:
E. 5 cm.
Step-by-step explanation:
As the 2 figures are congruent then corresponding sides are congruent.
NP corresponds to UT = 5 cm.
So NP is 5cm long.
(If we rotate Figure 2 through 180 degrees anticlockwise we see that it fits exactly on to figure 1.)
Taylor would like to build the garden of her dreams. She needs 20 cubic feet of soil containing 12% clay. She has two types of soil that she can combine to achieve this: soil with 20% clay and soil with 8% clay. How much of each soil should she use?
Please help
Nathan bought one notebook and one binder for each of his college classes notebooks cost 0.95 each and binders cost 5.82 each. The total cost of notebooks and binders was 27.08. how many classes is Nathan taking?
Answer:
0.95 + 5.82 = 6.77 for each
27.08/6.77= 4
so he's taking 4 classes
Answer:
The answer is 4 classes.
Step-by-step explanation:
Nathan bought one notebook and one binder for each of his college classes.
Notebooks cost 0.95 each and binders cost 5.82 each.
So, he paid [tex]0.95+5.82=6.77[/tex] dollars
The total cost of notebooks and binders Nathan paid 27.08.
This means he bought these things for [tex]\frac{27.08}{6.77}=4[/tex] classes.
6/7 times 9/7 in simplist form
Answer:
3/2
Step-by-step explanation:
Answer:
1 [tex]\frac{5}{49}[/tex]
Step-by-step explanation:
1. Multiply the numerators
6 x 9 = 54
2. Multiply the denominators
7 x 7 =49
3. You would get 54/79
4. Simplify
When simplifying you would get 1 [tex]\frac{5}{49}[/tex]
Jillian owns 60% of the stock
in a private catering
corporation. There are 1,200
shares in the entire
corporation. How many
shares does Jillian own?
Answer:
720
Step-by-step explanation:
Percentage share owned by Jillian = 60%
Total shares in corporation = 1200
Number of shares owned by Jillian = [tex]\frac{60*1200}{100} = 720[/tex]
The sum of 10 and a number x is equal to 14.
Answer:
10+x=14; x=4
Step-by-step explanation:10+x=14
-10 -10
The 10's cancel out
x=4
Answer: 10+x=14
Step-by-step explanation:
The word "sum" implies addition, so we know we are going to be adding some values. The next part of the sentence just give you your two values, 10 and a number (x). We know to add these two together because of the word sum. The final part of the sentence is "is equal to 14" this simply mean =14. Put all the pieces together and you get : 10+x=14
I need help with this
$5.40+$8.70+$6.30
plz help this is fifth grade math and it is using compensations and it is hard
After solving the given mathematical expression which is $5.40 + $8.70 + $6.30 , we get value equal to $20.40
What is addition ?
The process of adding two or more numbers together or combining things into one group is known as addition.
The given arithmetic expression is $5.40+$8.70+$6.30.
Let's solve the given mathematical expression.
To add decimal numbers , place the decimal point in line with the specified decimal points, align the decimal numbers in accordance with their place values. If we look at the given decimals, we can see that they are like decimals because they have two digits after the decimal point. Therefore, we will arrange them in the proper sequence and perform standard addition rule.
i.e.,
5.40 + 8.70 + 6.30
We can write this as sum of :
= (5+8+6) + (0.40 + 0.70 + 0.30)
Now , solving to get the value :
= (19) + (1.40)
= $20.40
Therefore, after solving the given mathematical expression which is $5.40 + $8.70 + $6.30 , we get value equal to $20.40
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Please help me idk this
Answer:
The anwser is 2.8000
Step-by-step explanation:
You look at the tenth place its 8 :
2.8151
Then you look to the right which is 1
is 1 more than 5 or less
1 < 5
8 stays the same but 1, 5, and 1 turn into zeros
Answer:
2.8151 rounded to the nearest tenth is 2.8, because tenths lie right after the decimal
I hope i helped :)
beth and her brother went to the arcade. it cost 75 cents to play 3 games. they played 21 games in all. how much money did they spend?
Answer:
$5.25
Step-by-step explanation:
if it cost 75 cents to play 3 games, that means it cost 25 cents per game. Multiply 21 games by 25 cents per game and you get 525, or $5.25.
A storeowner orders 25 calculators that cost $32 each.The storeowner can sell each calculator for 40$ .the storeowner sold 22 calculators to cudtomers.He had to return 3 calculators that were never sold and pay a $2 charge for each returned calculator(although the initial cost is refunded)What is the storeowners profit
Answer:
$74
Step-by-step explanation:
25*32 will be the total amount he spent at first. ($800)
He sells 22 calculators at 40$, 22*40 = 880.
He was unable to sell 3, and he had to pay 2$ per (2*3 = 6)
He had an 80 dollar profit before he returned them, (880-800).
Then he returned three for 6$ (80-6)
His end profit was 74.
The midpoint of GH is M(3, 0). One endpoint is G(1, 0). Find the coordinates of the other endpoint H.
[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{1}~,~\stackrel{y_1}{0})\qquad H(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+1}{2}~~,~~\cfrac{y+0}{2} \right)~~=~~\stackrel{\stackrel{Midpoint}{M}}{(3~,~0)}\implies \begin{cases} \cfrac{x+1}{2}=3\\[1em] x+1=6\\ \boxed{x=5}\\ \cline{1-1} \cfrac{y+0}{2}=0\\[1em] \boxed{y=0} \end{cases}[/tex]
solve by substitution or elimination 5x+3y=-15 -8x-2y=10
Answer:
x=0, y=-5
Step-by-step explanation:
The system is
(1) 5x+3y=-15
(2) -8x-2y=10
Let's solve it by elimination. In order to do it, you have to multiply the equations by suitable numbers in such a way that when you add the 2 equations, one of the unknowns is eliminated
Multiply (1) by 2 and (2) by 3
(1) 10x+6y=-30
(2) -24x-6y=30
Add the two equations
10x-24x+6y-6y=-30+30 ----> -14x=0---->x=0
Now replace this value in any equation, for example in (1)
6y=-30 ----> y=-30/6----> y=-5
Answer: The required solution is (x, y) = (0, -5).
Step-by-step explanation: We are given to solve the following system of equations by the method of substitution or elimination :
[tex]5x+3y=-15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-8x-2y=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
We will be solving the given system by substitution method.
From equation (ii), we have
[tex]-8x-2y=10\\\\\Rightarrow -4x-y=5\\\\\Rightarrow y=-4x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
Substituting the value of y from equation (iii) in equation (i), we get
[tex]5x+3(-4x-5)=-15\\\\\Rightarrow 5x-12x-15=-15\\\\\Rightarrow -7x=0\\\\\Rightarrow x=0.[/tex]
From equation (iii), we get
[tex]y=-4\times0-5=-5.[/tex]
Thus, the required solution is (x, y) = (0, -5).
Mark earned $240 in the first week and earns $680 in the fifth week. How much will he earn in the 20th week (suppose his earnings each week have the same increase)
Answer:
$ 2330
Step-by-step explanation:
a = $240
Earning at the end of fifth week = $ 680
increase in earnings per weak = ( 680 -240)/2 = 440/2 =110
d =110
l = a + (n-1)d
a20 = 240 + (19 * 110 ) = 240 + 2090 = 2330
Answer:2334
Step-by-step explanation:
A bag contains the following marbles: 4 black marbles, 14 blue marbles, 8 brown marbles, and 20 green marbles. What is the ratio of blue marbles to green marbles? Express your ratio as a fraction or with a colon
Answer:
14 to 20 or 7 to 10 is the ratio
Final answer:
The ratio of blue marbles to green marbles is 14:20, which simplifies to 7:10 or as a fraction, 7/10.
Explanation:
The ratio of blue marbles to green marbles from a bag containing 4 black marbles, 14 blue marbles, 8 brown marbles, and 20 green marbles is simply the number of blue marbles divided by the number of green marbles. To express this ratio, we would do the following:
Count the blue marbles: There are 14 blue marbles.
Count the green marbles: There are 20 green marbles.
Write the ratio: The ratio of blue marbles to green marbles would be 14 blue marbles to 20 green marbles.
Express as a fraction or with a colon: As a fraction, this is 14/20, which simplifies to 7/10. Or, using a colon, it is represented as 14:20, which also simplifies to 7:10.
Solve 4(25+5+1+10) use pemdas
Answer:
164
Step-by-step explanation:
pemdas
parentheses first: 4(25+5+1+10) = 4(41)
parentheses around only on term means multiply
4(41)= 164
Answer:
164
Step-by-step explanation:
PEMDAS requires you to do whatever is asked inside the parenthesis first. So in this case, add all those together to get the answer of 41, then multiply by 4 on the outside
Which of the following transformations will make parallel lines p and q coincide with parallel lines p' and q'?
A.Counterclockwise rotation 90 about the origin
B.Counterclockwise rotation 90 about the origin, followed by translation 4 units to the left
C.Reflection across the x-axis, followed by a counterclockwise 90 rotation about the origin
D.Reflection across the line y-axis, followed by a counterclockwise 90 rotation about the origin
Answer:
A. Counterclockwise rotation 90 about the origin
Step-by-step explanation:
All we have to do is make the 270°-clockwise [90°-counterclockwise] rotation to map it exactly on q' and p'.
I am joyous to assist you anytime.
Option (A) counterclockwise rotation 90° about the origin makes the the parallel lines p and q will coincide with parallel lines p' and q' is the correct answer.
What is transformation of rotation?A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction on the coordinate plane. In both transformations the size and shape of the figure stays exactly the same.
For the given situation,
The graph shows the parallel lines p, q and p', q' in the plane.
The parallel lines p and q coincide with parallel lines p' and q' when we transformed the parallel lines by counterclockwise rotation 90° about the origin.
After this transformation of rotation, the parallel lines p and q will coincide with parallel lines p' and q'.
Hence we can conclude that option (A) counterclockwise rotation 90° about the origin makes the the parallel lines p and q will coincide with parallel lines p' and q' is the correct answer.
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Which expression is equivalent to (f g) (5)?
f (5) times g (5)
f (5) + g (5)
5 f (5)
5 g (5)
Answer:
Option A.
Step-by-step explanation:
Expression given in the question is (f g)(5).
We know when two functions are f(x) and g(x) then (f g)(x) represents the multiplication of two functions.
(f g)(x) = f(x).[g(x)]
For x = 5
(f g)(5) = f(5).g(x)
It may be represented by the operation as
(f g)(5) = f(5) × g(x)
Therefore, option A. will be the answer.
The function (f g)(5) can be expressed as f(5) × g(5) as an equivalent expression.
Equivalent expression to (f g)(5)The equivalent expression is determined as follows;
Two given functions such as (f(5) and g (5), can be represented by the multiplication of the two functions as shown below.
(f g) (5) = (f (5) x g (5)
(f g) (5) = (f (5) x g (5)
Thus, the function (f g)(5) can be expressed as f(5) × g(5) as an equivalent expression.
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5×25-15615÷5 can someone help simplify this question?
Answer:
125-3123
Step-by-step explanation:
5 x 25 is 125, subtracted by 15615 which is 3123
write 1.888... as a mixed number
Answer:
Step-by-step explanation:
The answer is 1-4/5