Answer:
$13,160
Step-by-step explanation:
5,600*.03=168
168*45= 7,560
5,600+7,560= 13,160
The amount of money in the account of Tom after 3 years with simple interest of 9.5 % is $6135.
What is simple interest?Calculating the amount of interest that will be charged on a loan can be done quickly and easily using the simple interest formula. To calculate the simple interest, we need to multiply the principle amount, the number of days between payments (in years), and the interest rate (in decimals).
The formula to calculate Simple Interest is:
SI = P*I*T
Here, P = Principal amount,
I = interest rate (in decimals),
T = time duration (in years).
putting the values from question:
SI = 5600 * 0.095*3
Simple Interest = 535
The money in the account will be the sum of principal amount and the simple interest.
Final amount = Principal amount + Simple Interest.
A = 5600 + 535
A = 6135
Therefore, the money in the account after 3 years is $6135 .
To know more about simple interest, go to link
brainly.com/question/2294792
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complete question;
Tom deposits $5,600 into a savings account. The simple interest rate for the account is 9.5%. If Tom does not withdraw any money from the account, how much money will be in the account after 3 years?
what is the value of x in 2x = 64
Answer:
2×=64
2×/2=64/2
×=32.....x is solved
Answer:
x=32
Step-by-step explanation:
when divided by 2, 64 is equal to 32
Y= 2/3x + 2. Y= 3/5x + 3. Graph equations
Find the product.
902 x 27
A. 18,054
B. 20,354
C. 25,254
D. 24,354
from the top of a tower 80m high, 2 boats are
seen in a direction due south. The angles of
depression of the boats from the top of the tower
are 30°and 45°respectively, find the distance
between the boat
Step-by-step explanation:
Height of tower - 80m
Distance between foot of tower and boat 1 = x
Distance between boat 1 and boat 2 =y
Tan 45 = 1 = 80/x
x = 80
Tan 30 = 1 / root 3 = 80 / 80 + y
y = 80 root 3 + 80
evaluate the expression 4/5-2/3
Answer:
2/15
Step-by-step explanation:
Find the LCM which is 15. Multiply 4/5 by 3 to get the numerator 15 and multiply 5 to 2/3 to get the numerator 15.
12/15-10/15=2/15
Hope this helps. Pls give brainliest.
Help please! Could you explain it too?
Answer:
a) not proportional
b) proportional; k = [tex]-\frac{3}{5}[/tex]
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
What’s the answer please help if you see this thank you?
Answer:
60
Step-by-step explanation:
8x6=48
3x4=12
48+12=60
How much net work is required to accelerate a 1000 kg from 20 m/s to 30
m/s?
Answer:
Work= force(F) * distance (s)
weight is a force and so
F=weight=mass *acceleration due to gravity
=1000*10=10000N
S=?
To find s,
F= ma
a=F/m=10000/10
a=10m/s²
Using Newton's third equation of motion
v²= u²+2as
30²= 20²+2*10*s
900–400=20s
500=20s
s=500/20= 25m
Work =F*s
Work=10000*25
Work= 250000J or 250KJ
Step-by-step explanation:
Need help on this please
A car owner buys diesel at rs 7.50, rs 8, rs 8.50 per litre for three successive years. what approximately is the average cost per litre of diesel if he spends rs 4000 each year?
Answer:
Average cost per litre of diesel = rs 8.00
Step-by-step explanation:
Amount spent on diesel each year = rs 4000
Price of a litre of diesel in the first year = rs 7.50
Price of a litre of diesel in the second year = rs 8.00
Price of a litre of diesel in the third year = rs 8.50
Average cost per litre of diesel = [tex]\frac{p_{1} + p_{2} + p_{3} }{n}[/tex]
where n is the number of years.
Average cost per litre of diesel = [tex]\frac{7.5 + 8.00 + 8.50}{3}[/tex]
= [tex]\frac{24}{3}[/tex]
= 8
Average cost per litre of diesel is rs 8.00
So that he buys an average of 500 (i.e [tex]\frac{4000}{8}[/tex]) litres every year.
Mark practice the piano for 2/3 for an hour for 6 hours every week. How many hours does he practice each week
Answer:
9
Step-by-step explanation:
6 divided by 2/3 = 6 x 3/2 = 18/2 = 9
hope this helped!
Answer:
2/2
Step-by-step explanation:
Over a two hour time period a snail moved 50 inches. How far is this in yards? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
1.3 yards
Step-by-step explanation:
Answer:
1 7/18 yards or 1 14/36 yards.
Step-by-step explanation:
There are 36 inches in a yard, so you divide 50 by 36.
You get a variety of answers depending on what form you want it in:
1 yard 1 foot and 2 inches.
1 yard and 14 inches.
These two answers take two forms as fractions of 36:
1 14/36 yards
or simplified: 1 7/18 yards.
random khan question and I haven't done this in a year, I'm struggling.
Answer:
Add maybe
Step-by-step explanation:
add the 500+400+200 try that hope it helps have a great day
I don’t know how to find X or Y very urgent, need to figure this out how to solve plz help
Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
Jessica is making 2 loaves of bread she needs 3/4 cup of sugar for each loaf her measuring cup only holds 1/4 cup how many times will the cup need to be filled
Answer:
The cup will be filled 6 times.
Step-by-step explanation:
If her measuring cup only holds 1/4 cups then we need to find how many 1/4 cups are in 3/4 cups:
(1/4) + (1/4) + (1/4) = 3/4
3/4 = 3/4
The measuring cup will have to be filled 3 times for 1 loaf.
If she has 2 loaves that means that she has to fill her 1/4 measuring cup 6 times (because 2 * 3 = 6)
Hope this helps!!
- Kay :)
12) Find the zeros of the function:
f(x) = x2 + 5x – 36
IS
Answer:
x² +5x - 36
= x² - 4x + 9x - 36
= x(x - 4) +9(x - 4)
= (x - 4) (x+9)
so x = 4, - 9
What is the area of a rectangle that is 4 inches by 2 inches?
Answer:
8
Step-by-step explanation:
Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie
Answer:
x intercept is 180
Step-by-step explanation:
Given
[tex]y = cos(\frac{1}{2}x)[/tex]
Required
Determine the x intercept
To do this, we simply set y to 0.
i.e. y = 0
Substitute 0 for y in [tex]y = cos(\frac{1}{2}x)[/tex]
[tex]0 = cos(\frac{1}{2}x)[/tex]
Take [tex]cos^{-1}[/tex] of both sides
[tex]cos^{-1}(0) = cos^{-1}(cos(\frac{1}{2}x))[/tex]
[tex]90 = \frac{1}{2}x[/tex]
Multiply both sides by 2
[tex]2 * 90 = \frac{1}{2}x * 2[/tex]
[tex]2 * 90 = x[/tex]
[tex]180 = x[/tex]
[tex]x = 180[/tex]
Hence, the x intercept is 180
I need to prove the following statement by proof by contrapositive or proof by contradiction:
Suppose x ∈ R. If x^ 5 − 4x^ 4 + 3x^ 3 − x ^2 + 3x − 4 ≥ 0 then x ≥ 0.
Answer:
b
Step-by-step explanation:
ok
Gold has a density of 19.3 g/mL. What is the mass of a 7.5 mL sample of gold?
Answer:
144.75 g
Step-by-step explanation:
19.3x7.5 = 144.75
URGENT HELP 30 POINTS
Answer:The answer is pride 5
Step-by-step explanation:
Set up a proportion and use it to solve for x.
14
х
6
9
Answer:
x=21
Step-by-step explanation:
x/x+14=9/15
15x=9x+126
6x=126
x=21
In a MBS first year class, there are three sections each including 20 students. In the first section, there are 10 boys and 10 girls, in the second section there are 15 boys and 5 girls, and in the third section, there are 12 boys and 8 girls. Five students are selected at random from each group to form committee of 15 students. What is the probability that all the 15 students selected are girls?
Answer:
[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls
Step-by-step explanation:
The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
All girls from the first group:
20 students, so [tex]N = 20[/tex]
10 girls, so [tex]k = 10[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163[/tex]
All girls from the second group:
20 students, so [tex]N = 20[/tex]
5 girls, so [tex]k = 5[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006[/tex]
All girls from the third group:
20 students, so [tex]N = 20[/tex]
8 girls, so [tex]k = 8[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036[/tex]
All 15 students are girls:
Groups are independent, so we multiply the probabilities:
[tex]P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}[/tex]
[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls
Use the diagram below to answer the following questions.
The infield of a baseball field is a square. The distance from home plate to first base is 90 ft.
2nd
8a. What is the distance from home plate to second base?
pitchers mound
3rd
1st
90 ft
8b. What is the distance from third base to first base?
Home
8c. If the pitcher's mound is 60 ft 6 in from home plate, is it the midpoint of the diagonal from home
plate to second base?
Answer:
Step-by-step explanation:
Distance from home plate to second base = 90√2 feet
Distance from third base to first base = 90√2 feet
60 ft 6 in = 60.5 ft
90√2 /2 = 45√2 ≅ 63.6 ft ≠ 60.5 ft
The pitcher's mound is not at the midpoint.
A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lbs of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?
Answer:
320 pounds of 55% raisins trail mix
480 pounds of 30% raisins trail mix
Step-by-step explanation:
i did it on RSM and got it right
What is the volume of the rectangular prism?
Answer:
15 0/0
Step-by-step explanation:
15 cubes on each side which totals to 30 cubes. To get the volume 15 cm multiply 30 x 1/2 = 15 the amount of volume
Answer:
15[tex]cm^{3}[/tex]
Step-by-step explanation:
ok...each of those boxes are 1/2 cm
What is the easiest thing to do is to count the front of the rectangular prism and there are 15 cubes. Now double it, and you get 30 cubes, now since each cube is 1/2 or 0.5, we get can do 0.5 x 30 and we get 15
Hope this helped!
Have a supercalifragilisticexpialidocious day!
The value of a baseball card can be represented by the equation Y - 3x+ 39, where x represents the number of year
that Robert has owned the card and y represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?
$3
$13
$36
$39
9514 1404 393
Answer:
$39
Step-by-step explanation:
Assuming your equation is supposed to be ...
y = 3x +39
The value of y when x = 0 is 39.
The value of the card when Robert purchased it was $39.
Answer: $39
Step-by-step explanation:
QUESTION: A survey of students in a homeroom class explored the
relationship between gender and participation in the school band. What
is a reasonable conclusion to draw from the data?*
Answer:
ill say its c but im not that sure
Step-by-step explanation:
Gwen takes out a loan of $400 to pay for an online course. Flat rate interest is charged at 8% p.a
If she repays the loan in 3
months, how much interest does she pay in total?
We know, 1 year = 12 month.
So, 3 month = 3/12 = 0.25 year.
Now, principle amount, P = $400 .
Rate is, r = 8% = 0.08
Time period, t = 0.25 year.
Now, Interest is given by :
I = P × r × t
I = $( 400 × 0.08 × 0.25 )
I = $8
Therefore, she will pay $8 interest in total.
ABCD is a cyclic quadrilateral in which AB parallel to CD if angle D is equals to 70 degree find all the remaining angles
Answer:
angle a is 110
angle B is 110
angle C is 70