The simple interest rate need by Teri will be 4%.
Step-by-step explanation:
Given:
Teri has $125,000 to deposit in his accounts so that he gets $200,000 in 16 years along with the simple interest.
To find:
The simple interest rate needed to grow $125,000 into $200,000 in 16 years.
Solution:
The principle amount Teri has = P = $125,000
The total amount Teri wants to have in 16 years = A = $200,000
The simple interest that will Teri earn = S.I
[tex]S.I= A - P =\$200,000-$125,000=\$ 75,000[/tex]
The rate of interest per year = R
The time for which money is deposited = T = 16 years
The simple interest is calculated by the formula:
[tex]S.I=\frac{P\times R\times T}{100}\\\$75,000=\frac{\$125,000\times R\times 16}{100}\\R=\frac{$75,000\times 100}{$125,000\times 16}=3.75\% \approx 4\%[/tex]
The simple interest rate need by Teri will be 4%.
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Simple interest rate (R) is 3.75%
Given:
Amount deposit as saving (P) = $125,000
Number of year (n) = 16 year
Amount needed (A) = $200,000
Find:
Simple interest rate (R)
Computation:
Amount of interest (I) = A - P
Amount of interest (I) = 200,000 - 125,000
Amount of interest (I) = 75,000
So,
I = (P)(R)(T)
75,000 = (125,000)(R)(16)
75,000 = 2,000,000(R)
R = 75,000 / 2,000,000
R = 0.0375
Simple interest rate (R) = 3.75%
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The hole for a support needs to be 5 feet deep. It is currently 1 foot 8
inches deep. How much deeper must the hole be? Use the conversion
factor 12 inches = 1 foot.
Answer:
60
12 inches=1 foot so 12 ×5=60
Answer:
60
Step-by-step explanation:
lol
hi please help i’ll give brain
Answer:
The GCF is going to be 2
Step-by-step explanation:
This Is how I find the GCF of 3 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here
The prime factorization of 8, 2 × 2 × 2 = 8
The prime factorization of 18, 2 × 3 × 3 = 18
The prime factorization of 70, 2 × 5 × 7 = 70
The one and THE only common factor is 2, which is going to be the GCF
geometry #1 please will give brainliest
Step-by-step explanation:
If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.
cb-b; use b = - 3, c = - 1
Answer:
6Step-by-step explanation:
Let b= - 3, c= - 1cb - b = ?(-1)(-3) - (-3) = ?3 - (-3) = 6[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
i need help i need answered assap no bs
Steps:-
First put the vertices on graph and find Triangle ABC .
Then Transact it the give amount i.e 5units and get A'B'C'
On the test, when Tom simplified the expression he got 5.8. What mistake did Tom likely make when he simplified the expression?
Answer:
It is likely that Tom did not expand brackets fully or forgot to subtract and add from both sides.
Step-by-step explanation:
There are 1024 bytes in a kilobyte. Write an expression that describes the number of bytes in a computer chip with n kilobytes. helpppp
Bytes are used to represent the number of bits in a computer system. There are 1024n bytes in n kilobytes.
Using the following representation:
[tex]KB \to[/tex] Kilobyte
[tex]B \to[/tex] Bytes
1024 bytes in 1 kilobyte is represented as:
[tex]1024B = 1KB[/tex]
Let the number of bytes in n kilobytes be x.
So, we have:
[tex]x = n\ KB[/tex] and
[tex]1024B = 1KB[/tex]
Cross multiply
[tex]x \times 1KB = 1024B \times nKB[/tex]
Divide both sides by KB
[tex]x \times 1 = 1024B \times n[/tex]
[tex]x = 1024n\ B[/tex]
Remove the units for proper representation
[tex]x = 1024n[/tex]
Hence, there are 1024n bytes in n kilobytes
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Answer: 1024n
Step-by-step explanation:
Math For test HELPPPP plz due in 45 mins
Which does not represent an integer?
Question 1 options:
−182
45
9–√
0
Answer:
9 minus a square root is the answer I think...
Step-by-step explanation:
Integers are all positive&negative numbers + 0
Find the equation of the line that is perpendicular to y=1/6x+3 and contains the point (-3,23)
d = 6 and e = 2
4e + d + 12 - 2e
Answer:22
Step-by-step explanation:
4*(2) + (6) +12 - 2*(2)=
8 +6 +12 -4=
14 +8= 22
Answer: 22
Step-by-step explanation:
Convert 99000 milligrams into pounds. Round your answer to the nearest hundredth.
Answer:
0.22
Step-by-step explanation:
find the decimal equivalent of the fraction 1/6
Answer:
0.16666666666
Step-by-step explanation:
Exercise 1
4x...X4 =
7 times
A library wishes to build an access ramp for wheelchairs. The main entrance of the library is 8 ft. above sidewalk level. If the architect recommends a grade (angle of elevation) of 6°, how long must the access ramp be?
Answer:
About 76.5 ft.
Step-by-step explanation:
Draw a diagram of a right triangle. The shorter leg represents the height of the main entrance of the library, which is 8 ft. The longer leg won't matter in this case. The hypotenuse is what we're trying to find, so mark it as x. We know there's a 6° angle of elevation, so the 30° angle of the triangle will be 6° in this case. Now we have to use trig. Think of Soh Cah Toa. The 6° is opposite from 8 and the hypotenuse is x. So, the equation to find x would be:
sin (6°) = 8/x
Multiply both sides by x
sin (6°) * x = 8
Divide both sides by sin (6°)
x = 8/sin (6°)
When putting it into a calculator, your answer should be 76.534, which rounds to 76.5 ft.
write 2.5 repeating as a mixed number in simplest form.
Answer:
2 5/9
Step-by-step explanation:
2.5 repeating is 2 5/9 as a fraction (mixed number) or 23/9 (fraction)
The repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.
Here, we have,
To convert the repeating decimal 2.5 to a mixed number in simplest form, we can follow these steps:
Step 1:
Let's assume x = 2.5
Step 2:
Multiply both sides of the equation by 10 to shift the decimal point one place to the right: 10x = 25.5
Step 3:
Subtract the original equation from the one obtained in Step 2 to eliminate the repeating part:
10x - x = 25.5- 2.5
9x = 23 (since the repeating part subtracts to zero).
Step 4: Solve for x by dividing both sides by 9:
x = 23 / 9.
Step 5: Express the fraction 23/9 as a mixed number:
23 ÷ 9 = 2 remainder 5.
Therefore, x = 2 remainder 5/9.
so, we get,
Thus, the repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.
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Calculate the volume of a warehouse that has inside dimensions of 22.4 meters by 11.3 meters by 5.2 meters.
The volume of the warehouse with the three dimensions is V = 1,316.224 cubic meters.
Given data:
To calculate the volume of the warehouse, you need to multiply its length, width, and height:
Volume = Length * Width * Height
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Given the dimensions:
Length = 22.4 meters
Width = 11.3 meters
Height = 5.2 meters
Substitute these values into the formula:
Volume = 22.4 m × 11.3 m × 5.2 m
Calculate the result:
Volume = 1,316.224 m³
So, the volume of the warehouse is approximately 1,316.224 cubic meters.
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Which matrix multiplication is possible?
o [o 3]-[1 -4
o
:I::
T:
11:40
30
미
1
4
Answer: D
Step-by-step explanation:
dim A=(a,b), dim B=(c,d), in order to multiply, c=b
1) dim A=(1,2) , dim B=(1,2) but 2≠1
2) dim A=(2,1) , dim B=(2,2) but 1≠2
3) dim A=(2,2) , dim B=(1,2) but 2≠1
4) dim A=(2,1) , dim B=(1,2) 1=1: result (2,2)
To verify Pythagoras theorem.
Answer:
The proof of Pythagorean Theorem in mathematics is very important. In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. States that in a right triangle that, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²).
IN A GIVEN FIGURE ABCD IS A SQUARE THE MEASURE OF ANGLE DBC IS
Answer:
Where is figure. Hope you understand me
Step-by-step explanation:
Please mark me brainliest thanks
Evaluate with help of distributive property :
i. 425 x 136 ii. 4005 x 67
Answer:
1 : 57,800.
2: 268,335
Step-by-step explanation:
hope it helps you
The expressions are evaluated using distributive property below -
We have -
i. 425 x 136
ii. 4005 x 67
We have to evaluate them with help of distributive property.
State the property of distributivity of multiplication over addition.Distributive property of multiplication over addition :
a × (b + c) = a × b + a × c
According to question, we have -
i. 425 x 136
ii. 4005 x 67
Now -
425 x 136 = 425 x (6 + 30 + 100) = 425 x 6 + 425 x 30 x 425 x 100
and
4005 x 67 = 4005 x (60 + 7) = 4005 x 60 + 4005 x 7
Hence, the evaluation using distributive property is done.
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through: (1, 1), slope = 6
Write the slope-intercept form of the equation of the line through the given point with the givenslope.
Answer:
[tex]y=6x-5[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept
We're given that the slope is 6. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=6x+b[/tex]
Now, to solve for the y-intercept, plug in the point (1,1) and solve for b:
[tex]1=6(1)+b\\1=6+b\\b=-5[/tex]
Therefore, the y-intercept of the line is -5. Plug this back into [tex]y=6x+b[/tex]:
[tex]y=6x+(-5)\\y=6x-5[/tex]
I hope this helps!
six boys went on a camping trip . their equipment weight was138 kg if the equipment was divided equally in weight how much did each boy carry
Answer:
138 kg / 6 = 23 kg per boy
Amelia drives 10 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go? subquestion - how many minutes did she drive in total
Answer:
Amelia drove 90 miles in 3 hours.
Step-by-step explanation:
she drove 10 miles in 20 minutes
we multiply this by 3, and get
30 miles in an hour ( 60 minutes)
then we multiply this by 3 and get
90 miles in 4 hours (180 minutes) :)
28. Ashton is hosting a banquet. He plans to spend $400, plus/minus $50, at a
cost of $25 per guest,
a. Find the maximum and minimum number of guests.
b. If there can be up to 7 guests per table, what is the minimum number of
tables Ashton should reserve so everyone has a seat?
Answer:
If he can spend $400 +- $50 ($350 or $450) the maximum number of guests at $25 each is 18 and the minimum is 14. If there can be up to 7 guests, he should prepare to have at least 3 tables to ensure everyone gets a seat if he goes with the $450 option.
Step-by-step explanation:
Please mark Brainliest if this helped :)
Division is one of the four fundamental arithmetic operations. The minimum number of tables Ashton should reserve so everyone has a seat is 2.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Ashton's budget is $400±50. Therefore, the maximum and the minimum budget that Ashton can spend on the banquet are,
Maximum budget = $400 + $50 = $450
Minimum budget = $400 - $50 = $350
A.) Now, the maximum guest will cost the maximum budget, therefore, we can write
Maximum guest = Maximum budget / Budget per guest
= $450 / $25
= 18
Minimum guest = Minimum budget / Budget per guest
= $350 / $25
= 14
B.) Since the minimum number of guests that can come to the banquet is 14, and only 7 people can seat at a table, therefore, the minimum number of tables Ashton should reserve so everyone has a seat is 2.
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simplify the following ;giving your answers in index form
Answer:
[tex] \frac{ {6}^{10} }{ {6}^{3} } \\ = \frac{ {6}^{3} \times {6}^{7} }{ {6}^{3} } \\ = {6}^{7} \\ thank \: you[/tex]
Pre-Calc HELPP I’ll give brainliest
i need this in less than 5 minutes :((
Answer:
5!=120 ways
Step-by-step explanation:
1st colour 5 ways
2nd colour 4 ways
3rd colour 3 ways
4th colour 2 ways
5th colour 1 way
total no of ways = 5 × 4 × 3 × 2 ×1 =5! = 120 ways
Which table shows a linear function?
O
-3
-3.
1
2
-2
2
5
X
3
0
O
-3
-2
1
2
-3
-5
x х
y
-3
-1
0
2
0
2
3
5
Answer:
Its the 3rd one,
Step-by-step explanation:
Because the X (Multiplier) is 1 and the Y (Initial starting point) is 3 so if you plug the numbers in, you'll get linear answers. :)
question 17 i need help answer is -16 but don’t know how
Answer:
-16
Step-by-step explanation:
-k² -(3k-5n)+4n k=-1 , n= -2
= -(-1)² - ( 3(-1) -5(-2) )+4(-2)
= -1-(-3+10)-8
= -1-(7)-8
= -1-7-8
= -16