Answer:
4%
Step-by-step explanation:
As indicated in the question, this is a simple interest question.
The formula for Simple Interest =
I = Principal × Rate × Time
In the above question, we were given the following values.
A = Total value / amount of money = $50000
Principal = $46875
Rate = ??
Time = 1 yr and 8 months
= 1 year +(8/12)
Time = 1.6666666667 years
We are asked to solve for the rate interest per year. Hence, the formula to use to solve this question is given as:
r = (1/t)(A/P - 1)
r = (1/1.6666666667)(50000/46875 - 1)
r = 0.04
Converting to percentage, rate = 0.04 × 100 = 4%
Therefore, the rate interest per year is 4%
If PR = 4X - 2 AND RS = 3X - 5 which expression represents PS?
Answer:
7x - 7
Step-by-step explanation:
If PR, RS, and PS are line segments then the equation below will work.
PR + RS = PS
(4x-2) + (3x-5) = 7x - 7
Combine the radicals. 2√24+5√54 A) 53√6 B) 5√6 C) 19√6 D) 93√6
Answer:
The answer is option CStep-by-step explanation:
2√24 + 5√54
To combine the radicals first make sure the radicals have the same square root
That's
For 2√24[tex]2 \sqrt{24} = 2 \sqrt{4 \times 6} = 2 \times 2 \sqrt{6} [/tex][tex] = 4 \sqrt{6} [/tex]For 9√54[tex]5 \sqrt{54} = 5 \sqrt{9 \times 6} = 5 \times \sqrt{9} \times \sqrt{6} [/tex][tex] = 5 \times 3 \times \sqrt{6} [/tex][tex] = 15 \sqrt{6} [/tex]Since they have the same square root we can combine them
That's
[tex]4 \sqrt{6} + 15 \sqrt{6} = (4 + 15) \sqrt{6} [/tex]We have the final answer as
[tex]19 \sqrt{6} [/tex]Hope this helps you
Can someone help me with this
Answer:
Does the answer help you?
Jorge walked 25 steps north. then he walked 75 steps south what is Jorges final position
Answer:
If Jorge goes up 25 (positive) and then goes 75 steps south (negative). Then you have to calculate 25-75. This equals -50. We know negative distance is south so he's final position will be 50 steps south.
Step-by-step explanation:
what is the method or solution to this question (3)x-1=81x
[tex]3x-1=81x\\78x=-1\\x=-\dfrac{1}{78}[/tex]
Answer:
[tex]\large \boxed{\displaystyle x=- \frac{1}{78}}[/tex]
Step-by-step explanation:
[tex]3x-1=81x[/tex]
Subtract 3x from both sides of the equation.
[tex]-1=78x[/tex]
Divide both sides of the equation by 78.
[tex]\displaystyle \frac{-1}{78} =x[/tex]
Find the lateral surface area of the
following prism:
5 cm
5 cm
-apothem = 3.44 cm
5 cm
5 cm
10 cm
5 cm
Answer:
250 cm²
Step-by-step explanation:
Lateral area of the prism is,
5×10×5
= 250 cm²
Lateral surface area of the given prism is equals to [tex]250cm^{2}[/tex].
What is lateral surface area?" Lateral surface area is defined as the sum of area of the all the surfaces except top and bottom of the given geometrical shape."
Formula used
Lateral surface area of pentagonal prism [tex]=5ah[/tex]
[tex]a=[/tex] edge length of the base
[tex]h=[/tex] height of the prism
According to the question,
For the given pentagonal prism,
Edge length of the base [tex]'a' = 5cm[/tex]
Height of the prism [tex]'h' = 10cm[/tex]
Substitute the value in the formula of lateral surface area we get,
Lateral surface area of pentagonal prism [tex]= 5 \times 5\times 10[/tex]
[tex]= 250cm^{2}[/tex]
Hence, lateral surface area of the given prism is equals to [tex]250cm^{2}[/tex].
Learn more about lateral surface area here
https://brainly.com/question/14001755
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The square root of the product of two positive numbers is called their geometric mean. What is the geometric mean of 16 and 64?
Answer:
Geometric mean of a and b: Square root of axb.
16x64 = 1024
Square root of 1024: 32.
So, the geometric mean is 32.
Hope this helps!
Help me please and thank you
Answer:
Below
Step-by-step explanation:
The domain tells you if there are any restrictions on the x's
The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!
So, the domain of this function is x >/ 5
Hope this helps!
Luis, Diego, and Cecil are going fishing.
Luis brings 4 cans of worms. Diego brings
3 cans of worms plus 2 extra worms. Cecil
brings 2 cans of worms. If they have a
total of 65 worms and each can contains
the same number of worms, how
many worms are in each can?
Answer:
7
Step-by-step explanation:
If we call the number of worms in a can x, we can write:
4x + 3x + 2 + 2x = 65
9x + 2 = 65
9x = 63
x = 7 worms
elizas backpack weights 18 7/8 pounds with her math book in it. without her math book, her backpack weighs 14 7/9 pounds
I'm assuming your trying to find the weight of the math book so here it is:
Answer:
4 5/36
Step-by-step explanation:
You'd have to do 18 7/8 - 14 7/9 but you can't subtract them yet because they don't have common denominators. So, you have to multiply the 7/8 by 9 and the 7/9 by 8. Then you would get 63/72 and 56/72. Then you put that into the equation and get, 18 63/72 - 14 53/72. If you subtract those, you get the answer, 4 10/72. Which can be simplified as 4 5/36.
I need help I need help
Answer:
[tex]{ \boxed{ \bf{c}}} \: \: \frac{3.8}{4} = s[/tex]
Step-by-step explanation:
[tex]{ \tt{4 \: pies \: = \: 3.8 \: ounces}} \\ { \tt{1 \: pie \: = \: ( \frac{1}{4} \times 3.8) \: ounces}} \\ { \tt{ = 0.95 \: ounces}}[/tex]
[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]
What is the image of the point (4,7) after a reflection about the line y = 4.?
Answer:
(4, 1)
Step-by-step explanation:
See attachment courtesy of Desmos.
why is gravitational force between two object usually unnoticeable
Answer:
gravitational attraction is based upon mass.More the mass more the force.When the object is as big as a moon it has a very less gravity.When we are talking about small objects like 2 pencils the force exists but is so weak that no noticabke movement takes place
Answer:
To notice that force, the objects have to have a big mass and be close to each others.
Generally in eveydays life, you don't notice this force since it is weak but that doesn't mean it does't exist.
If you go the space, you can notice this force since planets have big mass. If you get close to the gravitational field of a planet, you will feel a force that is pulling you toward the planet.
Andrew rents rooms in his hotel for an average of $97 per night. The variable cost per rented room is $36. His fixed costs are $52,000 per month. How many rooms does he have to rent per month in order to break even?
Answer:
853 rooms
Step-by-step explanation:
If someone just opens the door with the intent to stay, Andrew has variable costs to pay which come off the 97 dollars. So his actual profit is 97 - 36 = 61 dollars. So how many rooms in total does he have to rent?
52000 / 61 = 853 rounded.
Is this realistic? The average month has 30 days
853 / 30 = 29 rooms rounded
Each room of 29 would have to be rented every night. I would say he better sell the hotel and go into something else.
3-2(x-1)=2+4x
How do you solve
Answer:
x = 1/2
Step-by-step explanation:
3 - 2(x - 1) = 2 + 4x
3 - 2x + 2 = 2 + 4x
-2x + 5 = 2 + 4x
-2x - 4x = 2 - 5
-6x = -3
x = -3/-6
x = 1/2
Which statement is true about the function represented by this graph?
Answer: Choice D)
The function has a range of all real numbers less than or equal to 2.
=======================================================
Explanation:
Let's go through the answer choices to see which are true, and which are false.
A) This is false because (0,-2) is a y intercept, and not an x intercept. A zero of a function is always an x intercept.B) This is false. The curve peaks at the vertex (2,2) showing we have a max point, and not a min point.C) This is false. A function can have at most one y intercept. If it had more than one y intercept, then it wouldn't be a function (since the input x = 0 leads to more than one output).D) This is true. The range is the set of possible y outputs. We see that y = 2 is the largest output, which occurs at the vertex. We can get anything smaller than this y value. Therefore, the range is the set of y values such that [tex]y \le 2[/tex]Answer:
option D
Step-by-step explanation:
THE FUNCTION HAS A RANGE OF ALL REAL NUMBERS LESS THAN OR EQUAL TO 2
please answer the following question(math question)
don't spam
Answer:
well hlo again ( ˘ ³˘)♥ (◍•ᴗ•◍)❤
Moly completes 3/10 of her science project in 4/5 hour
Answer:
1.5 per hour
Step-by-step explanation:
Please help me with this trigonometry math question ASAP! Thanks so much!
Answer:
[tex]cos\alpha =\frac{7}{25}; \ tan\alpha =-\frac{7}{24}.[/tex]
Step-by-step explanation:
if π<α<2π and cotα<0, then 1.5π<α<2π. It means, that cosα>0 and tanα<0.
1) tanα=1/cotα; ⇒tanα= -7/24;
2) [tex]cos\alpha =\frac{1}{\sqrt{1+cot^2\alpha }}}; \ cos\alpha =\frac{7}{25}.[/tex]
A family club keeps a small amount of money on hand for members to borrow for short periods of time. The simple interest charged is 7.5%. Stephen borrowed $5,000 for 3 months. How much, to the nearest dollar, was he required to pay back at the end of 3 months?
Answer:
$6125
Step-by-step explanation:
5000 x 3 x .075 = 1,125
5000 + 1125 = 6125
evaluate the following expressions if a = 2, b = 3, x = 4, y = 5
Answer:
18
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
2c+17.6 =6 / 4 SOLVE give your answer as a decimal get brainly
Answer:
-8.05
Step-by-step explanation:
In order to solve for C you first have to subtract 17.6 from both sides.
2c=(6/4)-17.6
6/4 is 1.5
1.5-17.6=-16.1
2c=-16.1
c=-8.05
Answer:
1.5
Step-by-step explanation:
2c+17.6=6/4
2c+176/10=6/4
2c+88/5=6/4
2c=6/4-88/5
2c=30-352/20
2c=-322/20
2c=-161/10
c=-8.05
Proof:
2c+17.6=6/4
2(-8.05)+17.6=6/4
-16.1+17.6=6/4
1.5=1.5
Hope this helps ;) ❤❤❤
Quadrilateral ABCD is inscribed in circle P as shown. Which statement is necessarily true?
Answer:
B. m∠A + m∠C = m∠B + m∠D
Step-by-step explanation:
To inscribe a quadrilateral in a circle, the sums of its opposite angles must be equal (each sum of its opposite angles equals 180 °)
In a group of 25 people, only three languages are spoken – English, Spanish and German. If there is at least one person who speaks all the three languages, how many people can interact with each other in English and German? 4 people speak two languages but do not speak Spanish One fifth of the group speaks more than one language.
Answer:
x + a=5
Step-by-step explanation:
Let
number of people who speak only English = E
the number of people who speak only German = G
the number of people who speak only Spanish = S
the number of people who speak only English & German but not Spanish = x
the number of people who speak only English & Spanish but not German = y
the number of people who speak only German & Spanish but not English = z;
the number of people who speak only German & Spanish & English = a
Find the the value of (x + a).
Statement 1: 4 people speak two languages but do not speak Spanish.
x = 4.
x+a
Value for a is unknown.
(x + a). Insufficient.
Statement 3: One-fifth of the group speaks more than one language.
x + y + z + a
= 25/5
= 5
value of (x + a) unknown
Insufficient.
Putting (1) and (2) together
x + y + z + a = 5
x = 4 and a=1,
we have only one possible solution from
x + y + z + a = 5
x + a
= 4 + 1
= 5.
Sufficient.
Find the standard deviation for the set of data.
{5,4, 18, 14, 22, 20, 6, 16, 12}
Would someone plz help me out with this
Answer:
$25,500
Step-by-step explanation:
Its an increase of $1,500 each year
[tex]\sqrt{x^{2} +5x+3} +2x^{2} +10x-15=0[/tex]
please mark this answer as brainlist
for the answer: The florist needs at least 1/3 gallons of nutrient rich water for each bushel of flowers he buys. If w is the gallons of water and f is the bushels of flowers, then:
w≥1/3f
I don't understand how you derive this equation.
Answer:
see below
Step-by-step explanation:
The phrase "at least" indicates that you use the symbol ≥, so that's where they got the ≥ from. The amount of water needed for each bushel is 1/3 * f or 1/3f because you need 1/3 gallons of water per one bushel. We know that the amount of water needed is at least 1/3 gallons per bushel. Since the amount of water is w, "at least" is ≥ and 1/3 gallons per bushel is 1/3f, the inequality is w ≥ 1/3f. I hope this makes sense.
6 less than twice a number
Answer:
6-2x
Step-by-step explanation:
six less than (subtraction) twice a number. 2 times a number x
the probability of getting an ace or a King from a pack of 52 cards is :
1/4
2/13
5/13
6/13
Answer:
2/13
Step-by-step explanation:
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