Answer:
Philip, after 12 seconds, is 13.44 meters farther ahead after 12 seconds
Step-by-step explanation:
Philip
6.59 x 12 = 79.08
Mary
5.47 x 12 = 65.64
79.08 - 65.64 = 13.44
Ward finances $20,000 to purchase a car. If he gets a 2. 5% interest rate regardless of loan length, how much interest will Ward save if he finances the $20,000 for 3 years rather than 5 years? A) $1,000 B) $10,000 C) $333. 33 D) $3,333. 33.
The total amount of interest will Ward save if he finances car the $20,000 for 3 years rather than 5 years is $1000.
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
The formula for the simple interest can be given as,
[tex]I=\dfrac{Prt}{100}[/tex]
Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).
Ward finances $20,000 to purchase a car. The rate of interest is 2.5% regardless of loan length. The interest amount of the car for three years is,
[tex]I_3=\dfrac{20000\times2.5\times3}{100}\\I_3=1500[/tex]
The interest amount of the car for five years is,
[tex]I_3=\dfrac{20000\times2.5\times5}{100}\\I_3=2500[/tex]
The amount of interest Ward save,
[tex]C=2500-1500\\C=1000[/tex]
Thus, the total amount of interest will Ward save if he finances car the $20,000 for 3 years rather than 5 years is $1000.
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find the length of side x in simplest radical form with a rational denominator
23° sería te sirve dime qué si ☜ (↼_↼)
1, Mark is taking a trip on an airplane.
His flight leaves at 24 minutes before
9 in the morning. Using A.M. Or P.M., at
what time does Mark's flight leave?
Explain
Answer:
8:36A.M
Step-by-step explanation:
AM is morning and 24 minutes before 9 is 3:36
Your favorite math teacher bought an 1895 for 1000$ 5%
Answer:
$950
Step-by-step explanation:
Take the original amount and subtract the 5% from the total then you have your new total.
Which is the value of this expression when m=3 and n=-5?
Answer:
1/8
Step-by-step explanation:
doing math to get the right answer your welcome
Help????????????????
Answer/Step-by-step explanation:
1099 x 3/7 = 471
471
Answer: The other person is right
Factor completely 4x2 16x. 4x(x 4) x(4x 4) 4(x2 4x) Prime.
Answer:
[tex]4x(x+4)[/tex]
Step-by-step explanation:
With the expression [tex]4x^{2} +16x[/tex], start by looking to see if you can take out any x-values. As you can see, both [tex]4x^{2}[/tex] and [tex]16x[/tex] have an x to the first power. You can factor that out, leaving you with the expression [tex]x(4x+16)[/tex]. Now you look for the largest numerical value that you can take out. Both 4 and 16 are divisible by 4, so you can factor out the number 4, leaving you with the expression [tex]4x(x+4)[/tex].
Answer:
4x(x + 4)
Step-by-step explanation:
I WILL GIVE BRAINLIEST PLEASE ANSWER CORRECTLY Mr. and Mrs. Bailey hope to send their son to college in eleven years. How much money should they invest now at an interest rate of 9% per year, compounded continuously, in order to be able to contribute $7500 to his education? Do not round any intermediate computations, and round your answer to the nearest cent.
Answer:
$2,786.83
Step-by-step explanation:
[tex]p {e}^{.09 \times 11} = 7500[/tex]
[tex]p = \frac{7500}{ {e}^{.09 \times 11} } [/tex]
[tex]p = 2786.83[/tex]
Kevin needs to buy shrubs for his yard. He can buy 6 shrubs for $72.00 at a nursery and 7 shrubs for $77.00 at a garden store.
Answer:
He would pay less at the garden store.
Step-by-step explanation:
We have to find the unit prices of both shrubs.
The unit price is the cost per unit, and to find the unit price, divide the price by the number of units.
72/6 = 12
77/7 = 11
He would pay less at the garden store because the unit price is lower than the nursery.
What two fractions can I multiply to make 2/3?
Answer:
2/3*3/3
Step-by-step explanation:
I mean its just doing 2/3 * 1 which i mean, 3/3 is still a fraction so i did it (TBH cant think of anything else
Answer: 2/3 x 1 = 2/3
technically everything 1 one will equal itself hope it helps.
The circumference of a circle is 7π m. What is the area of the circle? 3. 5π m² 12. 25π m² 14π m² 49π m².
Area of the circle is the area covered by that circle. The area of the circle whose circumference is 7π m is 12.25π m².
What is the area of a circle?The area of the circle is the area covered by that circle. It is given by the formula,
[tex]\text{Area of the circle}=\pi r^2[/tex]
where r is the radius of the circle.
As it is given that the circumference of a circle is 7π m. Therefore, the radius of the circle can be written as,
[tex]\text{Circumference of the circle} = 2\pi r[/tex]
[tex]7 \pi = 2 \pi r\\\\r = 3.5\rm\ m[/tex]
Now, we know the formula of the area of a circle, therefore, the area of the circle can be written as,
[tex]\text{Area of the circle}=\pi r^2[/tex]
[tex]= \pi \times (3.5)^2\\\\= 12.25\pi\rm \ m[/tex]
Hence, the area of the circle whose circumference is 7π m is 12.25π m².
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freya thinks of a number
she multiplies the number by 2 and then subtracts 10
the result is 50
what number did freya think of?
Answer:
30
Step-by-step explanation:
30 * 2 is 60
60 - 10 is 50
Ricardo works in retail and earns a base monthly salary plus a commission of his total sales for the month. Ricardo’s total sales for the month of March were $14,800, and his earnings for March were $2,092. Ricardo’s total sales for the month of April were $16,850, and his earnings for April were $2,174. What is Ricardo’s base monthly salary?
Answer:
Step-by-step explanation:
HELP DUE IN 10 mins The construction worker works for $5.50 per hour, but he does not get paid for his lunch time. He spent 3.8 hours for one onsite task, 1.3 hours for lunch and 4.4 hours on another on-site task yesterday. How much would the construction worker be paid?
Answer:
It would be $31.35
Step-by-step explanation:
Just add the hours together except the time he took for lunch. Then times that by how much money he makes per hour.
Answer:
Step-by-step explanation: Hi there.
First, add up the number of hours he worked (do not include lunch hours): 3.8+4.4=8.2
Then multiply those hours by how much he gets paid: 5.50*8.2=45.1
So the worker was paid $45.10.
Have a nice day! :)
If you drove 60 miles in two hours, how many miles per hour did you drive?
Answer:
im pretty sure its 30
Step-by-step explanation:
Please help, this one is tough for me
Answer:
Square both sides.
When you do this the square root sign will be eliminated and u will be able to solve. So it will become just x2 + x - 2 and the left hand side you will need to do foil method and use distributive law
1.When the sum of the measures of two angles is that of a straight angle and if one of them is acute then the other should be.
a. acute angle b. Obtuse angle c. c. right angle
Peter has a mass of 12.5kilograms. John is 5.8kilograms heavier than Peter.
What is the mass of John?
a.18.3 kg b. 6.7 kg c. 7.3 kg
Answer:
1. Obtuse angle
2. 18.3kg
For what value of x, the slope of the line passing through P(-2,-8) and Q(5,x) is 1?
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
The equation for slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
In this case, x would represent, [tex]y_2[/tex]. Therefore...
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\1=\frac{x-(-8)}{5-(-2)}\\1=\frac{x+8}{5+2}\\1=\frac{x+8}{7}\\\\Multiply\ 7\ to\ both\ sides\\\\7=x+8\\\\\ Subtract\ 8\ from\ both\ sides\\\\x=-1[/tex]
60 point Pls someone
Indicate which property is illustrated in Step 1.
Step 1
5x +8+7x + 1=(5x + 8)+(7x+1)
Step 2 = 5x + (8 + 7x) + 1
Step 3 = 5x + (7x + 8) + 1
Step 4 = (5x + 7x) + (8 + 1)
Step 5 = (5 + 7)x + (8 + 1)
Step 6 = 12x + 9
A. associative
B. commutative
C. arithmetic fact
D. distributive
A. associative
associative property which describes the numbers in a multiplication expression can be regrouped using parentheses.
for example: 2x² + 5x + 3 ↔ ( x + 1 ) ( 2x + 3 )
20 POINTS
A circular railroad crossing sign has a diameter of 30 inches which measurement is closest to the area of the sign in square inches?
Answer:
706.5
Step-by-step explanation:
Answer:
706.5
Step-by-step explanation:
Diameter = 30
30/2 = 15. 15 is the radius
To find area:
3.14 x 15 x 15 = 706.5
706.5 is the answer
The triangle shown must be a right traingle if x = In
Answer:
the answer is B.12
Step-by-step explanation:
i took the test.
Kevin can mow the lawn in 1.5 hours. Together, Kevin and Eric can mow the lawn in 30 minutes. How long will it take Eric to mow the lawn alone?
HELP PLS
Answer:
45
Step-by-step explanation:
These work problems are always done in terms of fractions ie if both (Kevin & Eric) took 30mins to mow and Kevin took 1.5hrs (90mins) alone then we can make an equation like below
1/time took for both = 1/time took for Kevin + 1/time took for Eric
1/30 = 1/90+1/x ==> calling time took for Kevin x
solving the above 1/x = 1/30-1/90
1/x=2/90
x=45
Given that Kevin takes 1.5 hours to mow the lawn alone and together
with Eric it takes 30 minutes The time it takes Eric alone is 45 minutes.
How can the rate of work of Eric be found?The time it takes Kevin to mow the lawn, K = 1.5 hours
The time it takes Kevin and Eric to mow the lawn, B = 30 minutes = 0.5 hours
Required:
The time it takes Eric to mow the lawn alone.
Solution:
Let K represent the time it takes Kevin to mow the lawn alone and let E
represent the time it takes Eric to mow the lawn alone, we have;
[tex]\mathbf{\dfrac{1}{K} + \dfrac{1}{E} }= \dfrac{1}{T}[/tex]
Which gives;
[tex]\dfrac{1}{1.5} + \dfrac{1}{E} = \dfrac{1}{0.5}[/tex]
Which gives;
[tex]\dfrac{1}{E} = \dfrac{1}{0.5} - \dfrac{1}{1.5} =\dfrac{4}{3}[/tex]
Therefore;
[tex]E = \dfrac{1}{\dfrac{4}{3} } = \dfrac{3}{4} = \mathbf{ 0.75}[/tex]
The time it takes Eric to mow the lawn alone, E = 0.75 hours
0.75 hours = 0.75 × 60 minutes = 45 minutes
The time it takes Eric to mow the lawn alone, E = 45 minutes
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(2x^2)^3(-x^4)
can some body help please on this Algerbra my techer is not responding bsck to me
Answer:
[tex]-8x^{10}[/tex]
Step-by-step explanation:
[tex](2x^2)^3(-x^4)[/tex]
Apply the rule [tex](-a)=-(a)[/tex]:
[tex]\implies -(2x^2)^3(x^4)[/tex]
Apply the exponent rule [tex](a \cdot b)^c=a^cb^c[/tex] :
[tex]\implies-(2^3\cdot x^{2 \times 3})x^4[/tex]
[tex]\implies -8 \cdot x^6 \cdot x^4[/tex]
Apply exponent rule [tex]a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies -8x^{6+4}[/tex]
[tex]\implies -8x^{10}[/tex]
Does side lengths 2, 5 and 7 form a right triangle
Answer:
No, it doesn't
Step-by-step explanation:
2+5=7
The two smaller lengths of a triangle cannot be equal to or less than the third side.
what is the x and y intercept of 4x-1=3y+5
HELP ASAP PLEASE idjfjdjejf
Answer: 35 apples are ripe and rest i.e 21 apples are not.
Step-by-step explanation:
5/8 of 56 apples are ripe i.e 35 apples are ripe and the rest 56-35 apples are not.
Mark me brainliest.
35 are ripe and 23 are not
5/8= x/56
5 x 56 = 280
280 / 8 = 35
56 - 35 = 23
needs help answering
Answer:
b = 100°
c = 30°
Step-by-step explanation:
b = 100° bc the two angles are supplementary, that is, together they form a straight angle and add up to 180°.
c = 30°
because a + b + c = 180. There's 180° in a triangle.
Need help!!! Don’t understand at all…
Please hurry Interior and Exterior Triangle Angles
Solution:
Note that:
Sum of interior angles = 180°(5x + 7) + (4x + 16) + (5x + 17) = 180Simplify the equation to find x.
(5x + 7) + (4x + 16) + (5x + 17) = 180=> (14x + 40) = 180=> 14x = 140=> x = 10Sum of angles=180
[tex]\\ \rm\bull\rightarrowtail 5x+7+4x+16+5x+17=180[/tex]
[tex]\\ \rm\bull\rightarrowtail 14x+40=180[/tex]
[tex]\\ \rm\bull\rightarrowtail 14x=140[/tex]
[tex]\\ \rm\bull\rightarrowtail x=10[/tex]
Olga buys tickets to a concert, She pays $27.7 for each ticket plus a handling fee of $5.50 for the order, The total cost is $144.25. How many tickets, n, Did Olga buy?
Equation is: 27.7n + 5.50 = 144.25
Answer:
Step-by-step explanation:
1. 27.7n + 5.5 = 144.25
2. 27.7n = 138.75
3. n = 138.75/27.7
4. n = about 5.00903 or 2775/554