Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal or initial amount of money invested.
R represents interest rate
T represents time
Considering the investment on account A,
I = $6.94
R = 3.7%
T = 9 months = 9/12 = 0.75 years
6.94 = (P × 3.7 × 0.75)/100 = 0.02775P
P = 6.94/0.02775 = $250
Considering the investment on account B,
I = $13.80
R = 2.3%
T = 18 months = 18/12 = 1.5 years
13.8 = (P × 2.3 × 1.5)/100 = 0.0345P
P = 13.8/0.0345 = $400
To determine the account that earned more interest in the first month,
250/9 = $27.8
400/18 = $22.2
Account A earned you the most interest the first month because $27.8 is higher than $22.2
5 3/10 - 1.5 please help me
Answer:
es igual a 111.111.111.011
Kayla is thinking of a 3-digit number.
* It is divisible by 18.
* It is a palindrome (It reads the same left-to-right as it does right-to-left, like 252 and 848).
* It is one less than a multiple of 5.
What is Kayla’s number?
Answer:
kaylas thinking of the number 414
Step-by-step explanation:
414 is divisable by 18 (414 divided by 23)
414 is palindrome
414 is one less than a multiple of 5 (415)
Answer:
414
Step-by-step explanation:
The last digit must be 4 or 9 since it is one less than a multiple of five. Then, it says the number must be divisible by 18, and 18 = 2x9. Only 4 is divisible by 2, so four must be the last digit. Since it's a palindrome, the first digit must also be four. Since it also has to be divisible by nine, 4 + 4 = 8, and 8 + 1 = 9.
The dry cleaning fee for three pairs of pants is $18. How much will it cost to clean 11 pairs of pants?
1 2/5 x 1 2/5 as a fraction mixed fraction
Answer:
1 24/25 or one and twenty-four twenty-fifths (in word form).
Step-by-step explanation:
This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.
1 2/5=7/5
7/5*7/5= 49/25 or 1 24/25.
Anyhow, the answer is 1 24/25
The simplified mixed fraction for the given fraction is [tex]24\frac{1}{2}[/tex]
What are mixed fractions?A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.
Given that a fraction [tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]
We need to simply it in a mixed fraction,
[tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]
= 7/2 × 7/2
= 49 / 2
= [tex]24\frac{1}{2}[/tex]
Hence, the simplified mixed fraction for the given fraction is [tex]24\frac{1}{2}[/tex]
Learn more about mixed fraction, click;
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Question is in the Picutre attached.
Consider the following equation
3x + 9y = 8y - 2
Step 2 of 2: Find the equation of the line which passes through the point (13,5) and is perpendicular to the given line. Express your answer in
slope-intercept form. Simplify your answer.
Answer:
The perpendicular line is:
y = 1/3 x + 2/3
Step-by-step explanation:
The given equation can be reduced to its slope-intercept form as shown below:
3x + 9y = 8y - 2
subtract 8 y from both sides
3 x + y = -2
subtract 3 x from both sides
y = - 3 x -2
therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3
We use this slope to find the equation of the line passing through the point (13. 5)
y = 1/3 x + b
passing through (13, 5) means:
5 = 1/3 (13) + b
therefore, we can find b from the above equation
b = 5 - 13/3 = 15/3 - 13/3 = 2/3
Then the equation of this perpendicular line is:
y = 1/3 x + 2/3
A tree casts a shadow 21m long. The angle of elevation of the sun is 51º. What is the height of the tree? Round your answer to the nearest tenth.
Answer:
25.9
Step-by-step explanation:
If a tree casts a shadow 21 m long. Then the height of the tree will be 25.9 meters.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
A tree casts a shadow 21 m long.
The angle of elevation of the sun is 51°.
Let h be the height of tree.
Then the height of the tree will be
tan 51° = h / 21
h = 25.93 m
More about the right-angle triangle link is given below.
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Find the tenth term of the geometric sequence with a1 = 3, and r = 2.
1377
1526
1659
1536
1500
General term of GP: a
1
r
n−1
10
th
term of GP =a
1
r
9
=45(0.2)
9
=23040×10
−9
=2.304×10
−5
Answer:
1536
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
Here a₁ = 3 and r = 2 , then
a₁₀ = 3 × [tex]2^{9}[/tex] = 3 × 512 = 1536
Imagine you measure the length of 15 cars, and then sum that length, in order to see how big a parking lot must be. You do this in two different ways. First, you use the same bad tape measure for each car so that your measurement is always 1 cm too long, or always too short, for all of the measurements. For your second attempt, you use a different bad tape measure for each car, so there is an uncertainty of plus or minus 1cm in each measurement. What is your estimate of the total error in the sum of all the car lengths in these two cases
Answer:
± 15 cm
Step-by-step explanation:
In the first case, since the measurement is 1 cm too long or too short, the error is ± 1 cm.
In the second case, the uncertainty or error is also ± 1 cm.
Now, since there are 15 cars, and there is an error of ± 1 cm in each measurement, by the error formula the total error in the sum of both cases is 15 × ±1 cm = ± 15 cm
So, the total error in both cases is ± 15 cm.
Pls can anyone help il give more points plsss
Answer:
1. 25
2. 3 hours
3. from 10:00 am to 10:30 am because he went 10 miles in 30 minutes
Step-by-step explanation:
witch division problem does the number line below best illustrated
A 10 ÷2= 5
B 15 ÷3= 5
C 50 ÷5=10
D 20 ÷10=5
Compare -3 and 9. Which of the following is true?
O A. 1-31 > 191 and -3 < 9
B. 1-31 < 19 and -3<9
C. 1-31 = 19 and -3 < 9
D. 1-31 > 191 and -3>9
Please I need help
Answer:
b :)
Step-by-step explanation:
If you simplify it you get:
|-3|<|9|
3 < 9
true
and -3 < 9
true
Billy has a set of wooden boards. Each board is 0.6 meters long. If Billy lays 4 boards end-to-end, how many meters long will the line of boards be?
Answer:
2. 4 meters long
Step-by-step explanation:
0. 6 times 4 equals 2. 4
Determine the AMPLITUDE and the MIDLINE of the sine function below.*
1 poin
y = – 3sin(2x) - 5
a. Amplitude = -3, Midline = -5
b. Amplitude = 3, Midline 5
c. Amplitude = 3, Midline - 5
d. Amplitude = 2, Midline = – 3
O a.
Step-by-step explanation:
Amplitude of the sine function is 1.
So if its multiplied by -3, its amplitude is 3 (its always positive).
The midline of sin x is 0.
The midline of sin 2x is also 0.
The midline of -3*sin 2x is also 0.
So if you subtract this function by 5, then the new midline is -5.
what is 9 to 8 to simplest
3 and 4 is the lcd
lcd means least common factor
simpleest it ¾ the answer
Answer:
3/4 hope its helpssssssss
2x+2 (1-4X) = 88-5 (x+4)7x + 2
Answer:
x=4/7
Step-by-step explanation:
Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile
costs $2.05 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest
cent.
Sal will pay $1
to tile his entryway.
Answer: 89.18
Explanation:none your welcome
it takes carina on average 20 minutes to assemble product x . how many of products x can carina be expected to assemble in 3 hours and 40 minutes if she takes a 20 minute work break during her assembly time
Carina can assemble 10 products within the give time
Could you please show work :)
Answer:
x= 12/7
Step-by-step explanation:
3x+4x=12
Step 1: Simplify both sides of the equation.
3x+4x=12
(3x+4x)=12(Combine Like Terms)
7x=12
7x=12
Step 2: Divide both sides by 7.
7x 7 = 12 7 x= 12 7
12/7
On Saturday, Luke drove 5x − 4 miles. On Sunday, he drove 3x − 3 miles. What is the difference in miles driven?
A. 2x+1
B. 2x + 7
C. 2x - 1
D. 2x - 7
PLEASE ANSWER ASAP IM TAKING THE TEST RN
There is a brick patio around a fire pit, as shown. Use 3.14 for pi.
What is the area of the fire pit?
Answer:
28.27
you just have to know the formula
How many bases does a triangular prism have?
(if you explain I will give brainlyist)
Answer:
there are two bases and three sides/faces.
2m+(m-15)=90 solve for m
Answer:
m = 35
Step-by-step explanation:
2m + m -15 = 90
3m -15 = 90
+15 +15
3m = 105
/3 /3
m = 35
To check the work just insert 35 for m:
2(35) + 35 -15 = 90
70 + 35 -15 = 90
105 - 15 = 90
90 = 90
Write an algebrale expression for the phrase "elghe more than three times a
number
x 3
Step-by-step explanation:
Last week a gumball machine dispensed 12 purple gumballs and 48 other gumballs. What is
the experimental probability that the next gumball dispensed will be purple?
Simplify your answer and write it as a fraction or whole number
P(purple) =
Answer:
1/5
Step-by-step explanation:
12/60=1/5
Help me pls pls pls
Answer:
F
Step-by-step explanation:
Dependent is the y-axis and independent is the x-axis. So your answer is F.
Hope this helps, thank you !!
Solve for x and y: (x + yi) -(2-1) = 12 +7i
Answer:
These are the answers.
Step-by-step explanation:
What is the answer please help me
Answer:
am not really sute bt its ..no
2 1/8x+3/4x+1/6-7/12x+5 2/3
Answer:
5/24(11x+28)
Step-by-step explanation:
lmk if you got the answers
Step-by-step explanation:
area of trapezium= 1/2×sum of parallel sides× height
=1/2×(9+9+7)×8
=1/2×25×8
=100
I hope this helps( ╹▽╹ )♥
