The simple interest earned on $530 at 5.5% rate for 1 years is $31.80.
How to calculate simple interest?The formula for simple interest is expressed mathematically as;
I = P × r × t
Where I is interest, P is principal, r is interest rate and t is time period.
Given the data in the question;
Principal P = $530Interest rate r = 6%Time period t = 1 yearInterest I = ?First, convert the rate from percent to a decimal form
Rate r = 6%
Rate r = 6/100
Rate r = 0.06
To determine the simple interest earned, plug the given values into the simple interest formula and solve for I.
I = P × r × t
I = $530 × 0.06 × 1
I = $530 × 0.06
I = $31.80
Therefore, the simple interest accumulated after 1 years is $31.80.
Learn more about simple interest here: brainly.com/question/25845758
#SPJ1
Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?
Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?
Answer:
3 hours (or 180 minutes)
Step-by-step explanation:3/4 of an hour = 45 minutes
45 minutes × 3 = 135 minutes or 2 hours and 25 minutes
2 hours and 25 minutes + 45 minutes = 3 hours (180 minutes)
In the figure, m<2 = 44. What is the measure of <1?
Answer:
m∠1 = 112°
Step-by-step explanation:
To solve for m∠1, we need to find the supplementary angle and subtract from 180°. We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.
Therefore m∠2 + x + x = 180; combine x's
m∠2 + 2x = 180; substitute m∠2 = 44°
44 + 2x = 180; subtract 44 from both sides
2x = 136; divide by 2
x = 68°
Therefore using the supplementary angle
x + m∠1 = 180 (because it is supplementary)
68 + m∠1 = 180; subtract 68 from both sides
m∠1 = 112°
Find the percent of decrease from 27 to 18.
PLEASE HELP
-33.33333333333333 %A change from 27 to 18 represents a negative change (decrease) of -33.33333333333333%
Use the formula found below on this webpage to find the percent changeby replacing the given values:Percent change = New - Old|Old| 100%Percent change = 18 - 27|27| x 100 = -927 x 100 = -33.33333333333333decrease)
Where: 27 is the old value and 18 is the new value. In this case we have a negative change (decrease) of -33.33333333333333 percent because the new value is smaller than the old value.
The Answer is: -33.33333333333333% or 33.3triangle ABC ~ triangle XYZ , where AB = 18 cm, BC = 30 cm , and CA = 42 cm . The longest side of triangle XYZ is 25.2 cm. What is the perimeter of triangle XYZ ?
Answer:
The perimeter of triangle XYZ is 54 cm
Step-by-step explanation:
In similar triangles, their corresponding sides are proportional, which means the ratios of the corresponding sides are equalTheir perimeters have the same ratio as their corresponding sides, which means P1 = r × P2, where r is the ratio of similarityTheir areas have the square of the ratio as their corresponding sides, which means A1 = r² × A2∵ Δ ABC is similar to Δ XYZ
∵ The longest side in Δ XYZ is 25.2 cm
→ That means its corresponding side in Δ ABC is the longest side
∵ AB = 18 cm, BC = 30 cm, CA = 42 cm
∴ The longest side in Δ ABC is CA
∴ CA is the corresponding side of the side of length 25.2 cm
∴ The ratio of similarity = [tex]\frac{25.2}{42}[/tex] = 0.6 ⇒ (r)
∵ The perimeter of Δ ABC = AB + BC + CA
∴ The perimeter of Δ ABC = 18 + 30 + 42
∴ The perimeter of Δ ABC = 90 cm
→ Use the 2nd fact above
∵ P of Δ XYZ = r × P of Δ ABC
∵ r = 0.6 and P of Δ ABC = 90
∴ The perimeter of Δ XYZ = 0.6 × 90
∴ The perimeter of Δ XYZ = 54 cm
2.(X+3) > 5. (3x + 1)
Answer:
3x+1 > 7
Step-by-step explanation:
x+3 > 5
x > 5-3
x > 2
3(x)+1
= 3(>2)+1
= 3x+1 > 7
Hope this helped!
Solve 3/5k-5=7/10k by eliminating the fraction. Explain how you determine what to multiply each term by and all the steps to solving the equation.
9514 1404 393
Answer:
k = -50
Step-by-step explanation:
The fraction denominators are 5 and 10. The least common multiple of those values is 10. This means we can eliminate fractions by multiplying both sides of the equation by 10:
6k -50 = 7k
Subtracting 6k from both sides of the equation leaves you with the solution:
-50 = k
An open rectangular cistern when measured from outside is 1.35 metre long 1.08 metre board and 90 cm It is made up of iron which is 2.5 cm find the capacity of the question and the volume of the iron used.
Answer:
The capacity of the cistern is [tex]1.2231~m^3[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
Step-by-step explanation:
Volume
The volume of a rectangular box of dimensions x,y,z is given by:
V = x.y.z
The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:
[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]
The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:
1.35 - 0.025 = 1.325 m
1.08 - 0.025 = 1.055 m
0.90 - 0.025 = 0.875 m
The internal volume is:
[tex]V_i=1.325*1.055*0.875[/tex]
[tex]V_i=1.2231~m^3[/tex]
The capacity of the cistern is 1.2231~m^3
The volume of iron used is the difference between the external and the internal volumes:
[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]
[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
please answer!! THIS IS ALL THE POINTS I HAVE LEFT SINCE NOBODY IS ANSWERING MY OTHER QUESTIONS :(
~~~~~~~~~~~~~
Answer:
The height of the parallelogram relates to the height of the circle because it is equal to the radius of the circle. The height goes from the circumference to the point of any section of the circle. I hope this helps.
Step-by-step explanation:
Answer: Well I will try to answer it
Step-by-step explanation:
A. I would say that the height of the base of the parallelogram its related to the circle since the base have the SAME shape of the circle. The height goes from the circumference to the point of any section of the circle and the radius well, it's the same.
B. I'm not so sure sorry
Which is the value for 54 . 3 ÷ 10 0 54.3÷100? A. 0.543 B. 5.43 C. 54.3 D. 543
Answer: The answer is acually 54.3
Step-by-step explanation: cause I did it
A 150-foot fence encloses a garden.What is the length of each side of the garden.
Answer:
15 ft 45 ft 30 ft 60 ft
Step-by-step explanation:
Please tell me the answer
Answer:
(-∞,∞) Bottom answerI hope this helps you with your algebra
Answer:
Infinity
Step-by-step explanation:
Give brainiest to the other guy/girl they deserve it!!
(Hope dis helps!!!)
What is the difference between a histogram and a bar graph?
a A histogram presents information in horizontal bars, while a bar graph presents information in
vertical bars
b. A histogram deals with data which displays a normal distribution, while a bar graph deals with
data in any distribution
c. There is no difference. The two terms are synonymous.
d. A histogram deals with continuous data in ordered columns, while a bar graph deals with
discrete data in separate columns
Answer:
d.
A histogram deals with continuous data in ordered columns, while a bar graph deals with discrete data in separate columns.
Step-by-step explanation:
-2/3 minus (-4/6)=
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] - \frac{2}{3} - ( - \frac{4}{6} ) = \\ [/tex]
[tex] - \frac{2}{3} + \frac{4}{6} = \\ [/tex]
[tex] - \frac{2}{3} + \frac{2 \times 2}{2 \times 3} = \\ [/tex]
[tex] - \frac{2}{3} + \frac{2}{3} = 0\\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
determine the linear factors 18x^3-34x^2+16x
Answer:
good luck tho oh and dont forget to tell me the answer
Step-by-step explanation:
Answer:
2x(9x - 8)(x - 1)
Step-by-step explanation:
Charles Beaudry sells computer hardware for a computer firm. He is paid 4 percent commission on the first $8,000 of sales, 6 percent on the next $10,000 of sales, and 8 percent on sales over $18,000. What is his commission of $21,278 in sales?
As i don't want this to be to long
We break it down so
$8000 x 4% = $320
$10000 x 6% = $600
$8000 + $10000 = $18000
$24550-$18000 = $6550 x 8% = $524
Final answer
$320+$600+$524 = $1,444
What is the slope of the line that passes through the points (7,−6) and (4, -6) ? Write your answer in simplest form.
the answer is m = 0. i hope this helps-
what5 is 12.4 x -1.35
Answer: -16.74
Step-by-step explanation:
Answer:-16.74
Step-by-step explanation:
Pressure is force divided by area calculate the force when the pressure is 18N/m^2
Answer:
hi
Step-by-step explanation:
1+1=2
Simplify 45 / 3 + 2 * 8 - 12 + 42
Answer:
61
Step-by-step explanation:
What is 11712.60 rounded off to 2 significant figures??
Answer:
12000
Step-by-step explanation:
If g (x) = 3x – 2, find g (8) – g(-5)
Answer:
I hope this helps you with your question
Marking brainlesssss!!
Answer:
I think the answer is C. 6.75
Answer:
6.75
Step-by-step explanation:
Please help!
What is 7% of 600
Answer:
42
Step-by-step explanation:
Hope this helps
In triangleABC, a = 1.4 cm, b = 1.5 cm and c=1.5 cm. Find the measure of angleA to the nearest 10th of a degree.
Answer:55.6
Step-by-step explanation:
Answer:
55.6
Step-by-step explanation:
List some of the valid reasons that can be used in a proof:
Answer:
Experiment results, and more results!
They help a LOT!
Step-by-step explanation:
Write the equation in slope-intercept form 2x−8y=24
Answer:
y=1/4x - 3
Step-by-step explanation:
Answer:
[tex]y=\frac{1}{4}x-3[/tex]
Step-by-step explanation:
Solve this equation. Enter your answer in the box.
–24 + 12d = 2(d – 3) + 22
Answer: The answer should be 4. So it should be written as d = 4. You answer this equation by removing the parentheses, calculating, moving the terms, collect the like terms and calculate some more, then finally divide both sides. Hope this helps!
the price of 6 pretzels is 5.10$. Simon and Sofia bought 8 pretzels and shared the cost equally. how much did each person pay
Answer:
Simon and Sophia payed $3.40 each.
Step-by-step explanation:
5.10/6= 0.85
0.85 dollars per pretzel.
0.85*8= 6.8
Simon and Sophia payed $6.80 together.
6.80/2= 3.4
Simon and Sophia payed $3.40 each.
Answer:
They each pay $3.40.
Step-by-step explanation:
I took 6 and divided $5.10 into 6 to get the cost per pretzel. Then, I multiplied the cost of one pretzel by 8, and divided by two to evenly split the cost between Simon and Sofia. Hope this helps!!
what is 20 percent of 140
Answer:
28
gotta divide
Step-by-step explanation:
solve for the variable
x-2= -5
7+x=11
-12+x=1