Principle = $15,500 Interest Rate = 8.75% Time = ? Years Simple Interest = $5425.00
Solve for the Time in Years
Simplify the expression. 6k – 1 + 6k
The hypotenuse of a right triangle is 37 mm. One leg of the right triangle is 12 mm. What is the length of the other leg? 30 mm 35 mm 40 mm 47 mm
The legs of a right triangle are 10 cm and 24 cm. What is the length of the hypotenuse?
22 cm 26 cm 30 cm 34 cm
Let ∠1, ∠2, and ∠3 have the following relationships.
∠1 and ∠2 are acute vertical angles.
∠3 is an obtuse angle adjacent to both ∠1 and ∠2.
What is the sum of the measure of ∠1 and the measure of ∠3?
"The value of [tex]\angle1 +\angle3[/tex] lies between [tex]90^{\circ} < \angle1+\angle3< 180^{\circ}[/tex].
Given,[tex]\angle 1,\angle2, \angle3[/tex] have the following relationships.
[tex]\angle 1[/tex] and[tex]\angle2[/tex] are acute vertical angles. [tex]\angle 3[/tex] is an obtuse angle adjacent to both [tex]\angle 1[/tex] and [tex]\angle 2[/tex].We have to find the sum of measure of [tex]\angle1[/tex] and the measure of [tex]\angle3[/tex].
Angle sum property:We know that the angle sum property of triangle states that the sum of all angles of a triangle is equal to [tex]180 ^{\circ}[/tex].
[tex]\angle 1+\angle 2+\angle3= 180^ {\circ}[/tex]
[tex]\angle1+\angle3= 180-\angle2[/tex]
So, the value [tex]\angle1 and \angle3[/tex] is always greater than [tex]90{^\circ}[/tex] because [tex]\angle 3[/tex] is the obtuse angle and it is being added to [tex]\angle1[/tex],
so it is always greater than right angle and less than [tex]180^{\circ}[/tex].
Hence the value of [tex]\angle1 +\angle3[/tex] lies between [tex]90^{\circ} < \angle1+\angle3< 180^{\circ}[/tex].
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If Jimmy increases a number by 10%, and then decreases this new value by 10%, what percent of the original number will the final result be?
The sum of two numbers is -1. When twice the first number and four times the second number are added, it equals -10. What are the two numbers?
for every pound a company spends on advertising it spends £0.64 on its websites. express the amount spent on advertising to the amount on its website it's website as a ratio it's in its simplest form
Solution:
we are given that
For every pound a company spends on advertising it spends £0.64 on its websites.
we have been asked to express the amount spent on advertising to the amount on its website it's website as a ratio it's in its simplest form.
We can find the required ratio as below
[tex]Ratio=\frac{1}{0.64} \\ \\ Ratio=\frac{100}{64} \\ \\ Ratio=\frac{25}{16} \\[/tex]
Hence the required ratio is 25:16.
shannon uses 30 inches of ribbon to make one bow.how many feet are needed to make 10 bows?
you are asked to determine if the two events "a randomly selected student has asthma" and "a randomly selected student has a household member who smokes" are independent. what probabilities could you calculate to answer this question?
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A rectangular prism has a length of 114 centimeters, a width of 4 centimeters, and a height of 314 centimeters. What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal.
using similarity solve for x. show all work
The table shows the change in the low temperature in Albany compared to the day before.
Wednesday : +3.5
Thursday: -4.1
Friday : 0
Saturday: -2.2
On which day did the low temperature change the most?
Answer: On Thursday the low temperature change the most.
Explanation :
From the given table we can conclude that change is the lowest in Thursday .
And there is no matter if it is positive or negative
Because change defines final - initial only i.e. difference between final and initial
So, we consider absolute value only.
According to which Thursday has the atmost change i.e 4.1 which is the lowest amongst the other .
So ,on Thursday the low temperature change the most.
The day with the most temperature change in Albany compared to the day before is Thursday.
The day with the most temperature change was Wednesday.
To determine the most significant change, we calculate the absolute difference for each day's temperature change:
Wednesday: |+3.5| = 3.5Thursday: |-4.1| = 4.1Friday: |0| = 0Saturday: |-2.2| = 2.2Therefore, Thursday had the most substantial temperature change.
A ________ is a monomial or the sum or difference of two or more monomials. Base, polynomial, linear term,quadratic equation
y=-x+7 , y=x-1 and show your work Help !
graphing system y=2x-2 2y=4x- 4
Answer:
These two equations describe the same line.
___
In the graph here, the graph of one equation is shown as a dotted line, not be cause those are the only points on the graph, but because I wanted you to see the other equation describes exactly the same line.
What does the y-intercept have to do with the graph?
Help me with this one question and think closely it is not 8 or 800 question 36
Number 14
I need help with this
A machinist creates a washer by drilling a hole through the center of a circular piece of metal. If the piece of metal has a radius of x + 7 and the hole has a radius of x + 6, what is the area of the washer?
A business owner purchases supplies for a laundromat and a car wash.
Part A
The owner purchases 6 cases of laundry soap, 8 cases of fabric softener, and 3 cases of bleach for the laundromat. Each case of laundry soap costs $68.45, eash case of fabric softener costs $39.71, and each case of bleach costs $52.25.
Which is the best estimate of the total cast, in dollars, of the laundry items?
The best estimate of the total cast, in dollars, of the laundry items is $885.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, the owner purchases 6 cases of laundry soap, 8 cases of fabric softener, and 3 cases of bleach for the laundromat.
Each case of laundry soap costs $68.45
So, the cost of 6 cases of laundry soap
= 6×68.45
= $410.7
Each case of fabric softener costs $39.71
So, the cost of 8 cases of fabric softener
= 8×39.71
= $317.68
Each case of bleach costs $52.25
So, the cost of 3 cases of bleach for the laundromat
= 3×52.25
= $156.75
Total =410.7+317.68+156.75
= $885.13
≈ $885
Therefore, the best estimate of the total cast, in dollars, of the laundry items is $885.
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200 grams of fertilizer are used for each tree in an orchard containing 1200 trees. at $2.75 per kilogram of fertilizer, how much does it cost to fertilize the orchard ?
To fertilize an orchard of 1200 trees, with 200 grams of fertilizer per tree and the cost of fertilizer at $2.75 per kilogram, the total cost would be $660.
To calculate the cost to fertilize an orchard of 1200 trees, assuming 200 grams of fertilizer are used per tree, and the fertilizer costs $2.75 per kilogram, we need to follow these steps:
Convert the amount of fertilizer needed per tree into kilograms, as the cost is given per kilogram. Since there are 1000 grams in a kilogram, 200 grams is equal to 0.2 kilograms.
Multiply the amount of fertilizer needed per tree by the number of trees to find the total amount of fertilizer needed for the orchard. This is 0.2 kg/tree times 1200 trees = 240 kilograms.
Multiply the total kilograms of fertilizer by the cost per kilogram to find the total cost of fertilizing the orchard. This is 240 kg times $2.75/kg = $660.
Therefore, the total cost to fertilize the orchard is $660.
Marci is going to use tile to cover her terrace. How much tile does she need?
Landons front lawn measures 20 feet by 8 feet he counts to find that there are 120 blades of grass per square inch how many blade do grass are in the entire lawn use proportions
What is the same as 98.52 divided by 10
Dividing 98.52 by 10 involves moving the decimal one place to the left, resulting in 9.852. This process is the same for all decimals when dividing by powers of 10, such as 10, 100, or 1000.
When we divide a number by powers of 10, we're effectively moving the decimal point to the left by as many places as there are zeros in the power of ten. For instance, dividing 1.9436 by 10 moves the decimal one place to the left, becoming 0.19436. Similarly, dividing 98.52 by 10 moves the decimal one place to the left as well, giving us the simplified answer of 9.852.
If we were to multiply a number by powers of 10, we would do the opposite, moving the decimal to the right. For example, to multiply 45.86 by 100, you would move the decimal two places to the right to get 4586.
In conclusion, 98.52 divided by 10 is 9.852. Even if the answer is rounded, the process remains the same; you simply adjust the decimal point accordingly based on the power of 10 you are dividing by.
Kade makes 5/6 cup salad dressing. He uses 2/3 cup dressing on a salad. How much salad dressing is left
Kade has 1/6 cup of salad dressing left after using some on a salad. We found this by converting 2/3 cup to 4/6 cup and then subtracting it from the 5/6 cup he initially had.
To find out how much salad dressing Kade has left after using some on a salad, we need to subtract the amount used from the total amount he made. Kade made 5/6 cup of salad dressing and used 2/3 cup on a salad. To perform the subtraction, both fractions need a common denominator. The smallest common denominator for 6 and 3 is 6. The fraction 2/3 can be converted to 4/6 so that both fractions have the same denominator. Now we can subtract:
Convert 2/3 cup to 4/6 cup (Since 3*2 = 6, and 2*2 = 4).Subtract 4/6 cup from 5/6 cup: 5/6 - 4/6 = 1/6 cup.Hence, Kade has 1/6 cup of salad dressing left after using it on the salad.
You are a farmer and want to spend under $35,000 on farm equipment. You need a hay bailer that costs $6,250 and several plowing disks cost $2,500 each. Write an inequality that models how many plowing disks could be purchased within your budget. What is the maximum number of plowing disks you can buy?
Answer:
A) 2,500x + 6,250 < 35,000; 11 plowing disks
Step-by-step explanation:
9. 10. 11. And need work or won’t get credit
Answer:
9) 22 - 5(6v - 1) = -63
22 - 30v + 5 = -63
27 - 30v = -63
-30v = -90
v = 3
10) 18x - (8x - 7) = 67
18x - 8x + 7 = 67
10x = 60
x = 7
11) 8(-2x - 4) + 12 = -52
8(-2x - 4) = -64
-2x - 4 = -8
-2x = -4
x = 2
PLEASE HELP ME!!!!!!!!!!! FAST PLEASE ITS URGENT!!!!!!!! WILL GIV BRAINLIEST!!!
The golf scores for the 32 members of the Belmont Country Club were 108, 89, 74, 115, 92, 86, 103, 107, 94, 89, 111, 78, 116, 82, 99, 107, 74, 78, 101, 93, 85, 98, 109, 82, 83, 105, 91, 106, 97, 84, 92, 96. Which histogram correctly shows the frequency distribution of the scores using ten-point intervals?
Histogram options for golf scores: (a) 3,9,8,9,2; (b) 5,7,10,7,4; (c) 4,8,9,8,3; (d) 5,8,9,8,5. Correct choice (d) accurately represents the frequency distribution of scores in ten-point intervals.
To create a histogram with ten-point intervals for the given golf scores, we need to organize the scores into ranges and determine the frequency of scores within each range. Let's examine each option:
a. 70-80: 3 scores, 80-90: 9 scores, 90-100: 8 scores, 100-110: 9 scores, 110-120: 2 scores.
b. 70-80: 5 scores, 80-90: 7 scores, 90-100: 10 scores, 100-110: 7 scores, 110-120: 4 scores.
c. 70-80: 4 scores, 80-90: 8 scores, 90-100: 9 scores, 100-110: 8 scores, 110-120: 3 scores.
d. 70-80: 5 scores, 80-90: 8 scores, 90-100: 9 scores, 100-110: 8 scores, 110-120: 5 scores.
The correct histogram is option (d) with scores in the 70-80, 80-90, 90-100, 100-110, and 110-120 ranges having frequencies of 5, 8, 9, 8, and 5, respectively. This accurately represents the distribution of golf scores in ten-point intervals among the members of the Belmont Country Club.
Matthew has saved a total of 10400 of which 2600 is invested in the stock market. What percent of his total saving is invested in the stock market
The puzzles measures 12 inches by 12 inches.what is the area of the puzzle.