Answer:
Simple Interest: A=P(1+rt)
A=15000(1+(0.1*4.2))
A=$21,300
Compound Interest:A=P(1+r/n)^nt
A=15000(1+0.1/4.2)^1*4.2
A=$64,500
Step-by-step explanation:
can someone help me with this math problem
Answer:
It is congruent to the angle F, as they are similar triangles.
Expression:
Simplify 2s - s + 6s
Please explain step by step how I get the answer to get marked as brainliest
Answer:
7s.
Step-by-step explanation:
2s - s + 6s (Given)
Rembember that - s is the same as - 1s because there is an invisible 1.
So, 2s - 1s = 1s or s.
1s + 6s = 7s.
2s - s + 6s (Given)
7s (Combine like terms)
Which graph shows a function and it’s inverse?
HELP PLEASE
Answer:
C
Step-by-step explanation:
A function and its inverse are obtained by reflecting in the line y = x
Under a reflection in the line y = x
a point (x, y ) → (y, x )
In graph C
the red line has a point (0, 2 )
the blue line has a point (2, 0 )
Then graph C shows a function and its inverse
Josh has $72 in his bank account, and earns $7 each
week. Aurora has $82 in her bank account, and earns $5
each week.
At how many weeks will they have the same amount of
money in their bank accounts, and how much will that be?
Answer:
week 5 and 107 dollars
Step-by-step explanation:
How can you solve multistep equations that represent real world
scenarios?
⦁ Simplify: –3|–2| + 4|–5|
show work
Answer:
-3|-2|+4|-5|=14Step-by-step explanation:
3| -2 =6
4| -5| =20
= -6+20
Simplify -
14
Thank You! I hope I could make your day just a little bit better!
Find the graph for the equation y=|x-3|-6?
Answer:
Step-by-step explanation:
The dimensions of a trapezoid are halved.
a) How will the area be affected?
b) If the area of the original trapezoid is 28 cm?, then what will the area of the smaller
trapezoid be?
Draw or add images here
Answer:
a) area will be 1/4 of the original
b) 7 cm²
Step-by-step explanation:
a)Consider the equation for the area of a trapezoid:
A = 1/2(b1 +b2)h
Now, halve each of the dimensions:
A' = 1/2((1/2)b1 +(1/2)b2)((1/2)h)
A' = (1/4)(1/2(b1 +b2)h) = 1/4A
The area is multiplied by the square of the scale factor: (1/2)² = 1/4.
__
b)The area of the smaller trapezoid will be ...
A' = 1/4A = (1/4)(28 cm²) = 7 cm²
On a number line, where would
7/10 be located? Choose all answers that make
a true statement.
7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are
B. To the left of 8/10
C. To the right of 3/10
Number lineFrom the question, we are to determine where 7/10 would be located
7/10 is the same as 0.7
0.7 < 8/10 (0.8)
and
0.7 > 3/10 (0.3)
Hence, 7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are
B. To the left of 8/10
C. To the right of 3/10
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ricky is a hardworking man who owns 6 hectares of land. in his will,he divided his lot equally among 7 sons. how much land will each of his son receive?
a. 0.68
b. 0.86
c. 68
d. 86
ricky is a hardworking man who owns 6 hectares of land. in his will,he divided his lot equally among 7 sons. how much land will each of his son receive?
a. 0.68
b. 0.86
c. 68
d. 86
Answer:-Given,Land owned by Ricky = 6 hectares
No. of sons = 7
Now,6 ÷ 7 = 0.8571429 or 0.86
→ Each son will own 0.86 hectares of land. Option b. 0.86 is the answer.
Which of the following numbers are composite?
6,14,25,30,52
Answer:
All of them are composite
Step-by-step explanation:
In math, composite numbers can be defined as the whole numbers that have more than two factors. Whole numbers that are not prime are composite numbers, because they are divisible by more than two numbers.
The scale of a blueprint is 3 inches : 10 feet. On the blueprint, a house is 9 inches
a
long. What is the length in feet of the actual house?
Answer:
30/5=68x6=48 feet
Step-by-step explanation:
divide the demesions
Please help!! Best answer gets brainliest<3
Answer:
-5.1
Step-by-step explanation:
Since we know the starting temperature was -12.6 and the decrease was 7.5, that gives an equation.
-12.6 - 7.5.
Since we are working in temperature we need to be careful when subtracting.
-12.6 - 7.5 = -5.1
In a calculator, -12.6 - 7.5 would be 20.1 but since we are using temperature the answer is -5.1.
Hope that helps. x
Determine the slope from the given graph below:
A ➼ The slope is -7
B ➼ The slope is−16
C ➼ The slope is 6
D ➼ The slope is -6
(Please help me! I'll mark brainliest and give five stars.<3)
Step-by-step explanation:
again (I just answered the same question), the slope is the ratio "y coordinate change / x coordinate change".
I see e.g the points
(-1, -1) and (0, -7) on the line.
x changes by +1 (from -1 to 0).
y changes by -6 (from -1 to -7).
so, the slope is -6/1 = -6.
so, D is the right answer.
How would you express sin(-a-b)
Answer:
-4-7
Step-by-step explanation:do 4 and 7
Graham drove 42 - miles in 1
hours. How many miles did he
drive in one hour? How man
hours did he take to drive one
mile?
what is the value of x that makes the equation 8 x -4 equal 96 true
Answer:
x= 12.5 or 25/2
Step-by-step explanation:
8x - 4 (+4) = 96 (+4)
8x (/8) = 100 (/8)
x= 12.5 or 25/2
The ratio 5/8 to 10/9 has a unit rate of 9/16
True or false
Answer:
This is false.
Step-by-step explanation:
The easiest thing to do is notice that 8 goes into 16 whilst 9 doesn't so that shows 9/16 would not be the unit rate.
The ratio 5/8 to 10/9 has a unit rate of 9/16 is false.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given are two ratios 5/8 and 10/9.
The unit rate of (5/8) is (5/8)/(8/8) = 5/8 = 0.625 similary the unit rate of the ratio 10/9 is 1.11.
Now, the unit rate of 9/16 is 0.5625 which is not in the range of two ratio's unit rates.
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Solve the equation for solutions over the interval [0°, 360°).
[tex]tan^{2}x + 7 tanx +8 =0[/tex]
Answer:
[tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]
Step-by-step explanation:
[tex]tan^2x+7tanx+8=0,[0^{\circ},360^\circ)[/tex]
[tex]tan^2x+7tanx+8=0[/tex]
[tex]u=tanx[/tex] <-- U-substitution
[tex]u^2+7u+8=0[/tex]
[tex](u+7)(u+1)=0[/tex]
[tex](tanx+7)(tanx+1)=0[/tex] <-- Replace u with tanx
[tex]tanx+7=0[/tex]
[tex]tanx=-7[/tex]
[tex]x=98.13^\circ,278.13^\circ[/tex]
[tex]tanx+1=0[/tex]
[tex]tanx=-1[/tex]
[tex]x=135^\circ,315^\circ[/tex]
Therefore, [tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]
The Hickory Stick has a selection of 3 meats and 6 vegetables. How many different selections of one meat and one vegetable are possible
The different selections of one meat and one vegetable are possible are 18 selections.
Since the Hickory Stick has a selection of 3 meats and 6 vegetables, the number of ways we can select one meat out of 3 is ³C₁ = 3.
Also, the number of ways we can select one vegetable out of 6 is ⁶C₁ = 6.
So, the total number of selections of one meat and one vegetable is ³C₁ × ⁶C₁ = 3 × 6
= 18 selections
So, the different selections of one meat and one vegetable are possible are 18 selections.
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I WILL GIVE BRAINLY!!!
-x - 8 ≤ 16
Please answer! Is the answer 24 or -24?
My last inequality before I got my answer was : -x ≤ 24.
But as we know if there is a varible that has no number associated with it we assume that the number for it is just one, but in this case -x would be -1x. So if I divide -1x/-1 that would be x, but if I divide 24/-1, that would be -24. So in the end someone just tell me if it's 24 or -24?!
Answer: The answer is X ≥ -24.
Explanation in the image.
Solve 2x2 – 6x + 10 = 0 by completing the square.
A)
x = 3∕2 + i , x = 3∕2 – i
B)
x = 3 + i, x = 3 – i
C)
x = 3∕2 + 1∕2 i, x = 3∕2 – 1∕2i
D)
x = 3 + i, x = 3 – i
Answer:
The answer is C.)
Step-by-step explanation:
I hope its help Please let me know.
Jana earns $25 per week for mowing the lawn and deposits the money into her savings account. The amount of money in Jana’s account can be represented by the equation y = 25x + 125, where x is the number of weeks she has been mowing the lawn. What does the y-intercept of the graph represent in this situation?
Answer: y-int = That means the amount of money in Jana's account before she began mowing lawns.
Step-by-step explanation:
The y-intercept represents the initial money that Jana has in his account. Step-by-step explanation: Given the equation of line is . Also, Jana earns $ per week. And is the number of weeks she has been working. If we plug week in the equation . It will give us the y-intercept. That means the amount of money in Jana's account before she began mowing lawns. The y-intercept represents the initial money that Jana has in his account.
the length of a rectangly is eight more than twice its width. if the length is less than 34, then what is the width?
Answer:
13
Step-by-step explanation:
I think u mean if the length is 34. If so heres how to work it out.
l = 2w + 8
l = 34.
34 - 8 = 26
26 / 2 = 13.
Width = 13
Answer:
x < 13
Step-by-step explanation:
→ Write an equation for the width
2x
→ Write an equation for the length
8 + 2x
→ Set up an equation
8 + 2x < 34
→ Solve
x < 13
The length of a pool is twice its width. What is the ratio of the length to the width of the pool?
Answer:
2:1 OR as a fraction, 2/1
Step-by-step explanation:
We don't know the actual length or width of this pool, like we don't know a number, as in exactly how many feet or meters long or wide this pool is. For this question, we don't need to know. "Twice" means 2 times. So if we consider the width (which we don't know) and call it w, then the length, (which we also don't know) which is two times as long, would be 2w
Width = w
Length = 2w
Ratio of Length to Width is
2w:w or as a fraction 2w/w
This can be simplified to
2:1 or as a fraction 2/1
What is 1.8 added 8 times? (IF YOU CAN PLS DO IT IN EXPLANATION) and this is about decimals and pls do it in grade five type, bc I won't be able to understand anything too big for me, example: (e^(4^(2)
Thank you
Answer:
14.4
Step-by-step explanation:
1.8 added 8 times = 1.8 * 8
1.8 * 8
use distributive property
1.8 = 1 + 0.8
1.8 * 8 = (1+0.8) * 8
= 1*8 + 0.8*8
anything multiplied by 1 equals itself
1*8 + 0.8*8 = 8 + 0.8 * 8
0.8 = 8/10
0.8 * 8 = (8/10) * 8
= 64/10
= 6.4
8 + 0.8 * 8 = 8 + 6.4 = 14.4 as our answer
Which best describes reduced fractions that will always terminate?
A.
reduced fractions with denominators that are factors of only 5
B.
reduced fractions with denominators that are factors of 2 or 5
C.
reduced fractions with denominators that are factors of only 5 or 7
D.
reduced fractions with denominators that are factors of only 2 or 3
Answer:a
Step-by-step explanation:
Reduced fractions with denominators that are factors of 2 or 5. Therefore, the correct answer is option B.
Terminating decimals are integers with a definite or finite number of digits following the decimal point. Like fractions, decimal numbers are used to represent a portion of a whole. This course will concentrate on the type of decimal numbers known as terminating decimal numbers. The word 'terminate' means to put a stop to something. In decimal terms, it is a number that comes to an end.
Here are a few tips to assist you identify a terminating decimal number.
A non-rational number is never an ending decimal number.If the denominator of a simplified rational number can be expressed in the manner [tex]2^p5^q[/tex] or [tex]2^p[/tex] or [tex]5^q[/tex], where p, q N, then the number has a terminating decimal expansion.After the decimal point, a terminating decimal number always has a finite number of digits.Therefore, the correct answer is option B.
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A couple can afford to make a monthly mortgage payment of $700. If the mortgage rate is 2% and the couple intends to secure a 30-year mortgage, how much can they borrow?
========================================================
Explanation:
r = 0.02 = decimal form of 2% annual interesti = monthly interest ratei = r/12 = 0.02/12 = (2/100)/12 = 1/600.n = number of months = 12*30 = 360P = monthly payment = 700We'll plug those items into the formula below.
L = loan amount
L = P*( (1+i)^n - 1)/( i*(1+i)^n )
L = 700*( (1+1/600)^360 - 1 )/( 1/600*(1+1/600)^360 )
L = 189,383.961539639
L = 189,383.96
The couple can afford to borrow at most $189,383.96
What is the eighth term of the arithmetic sequence defined by the rule A(n) = -12 + 2(n-1)?
Tn = a + d * (n-1)
T8 = -12 + 2*7
= -12 +14
= 2
Use the above balance sheet for the ABC Bank. Assume the reserve ratio is 20 percent. Assuming the bank (single bank) loans out all of its excess reserves, and has a check cleared against it for that amount loaned, its actual reserves and checkable deposits will now be: