Answer:
4%
Step-by-step explanation:
Given data
principal= $1,700
time= 16 years
final amount= $3,100
Applying the compound interest formula we have
r = (A/P)^1/t - 1
substitute
r=3100/1700^1/16-1
r=1.82^0.0625-1
r=1.038-1
r=0.038
Hence the rate is 0.038*100
=3.8
=4%
Answer: 3.8%
Step-by-step explanation:
ANSWER THIS IN SIMPLEST FORM! GIVING OUT BRAINLIEST TO WHOEVER HELPS ME WITH THIS, TYSM!!! ❤️ 50 POINTS
Tara needs an $8,000 personal loan.
Which loan option would require her to pay back the least amount of money?
36-month loan with a 9% annual simple interest rate
42-month loan with a 7% annual simple interest rate
48-month loan with an 8% annual simple interest rate.
54-month loan with a 6% annual simple interest rate
The least amount is paid back in a 42-month loan with a 7% annual simple interest rate.
What is simple interest?The term simple interest refers to a type of interest that is paid only on the principal and not on the interest. We have to note that the time and the interest rate all contribute to increasing the amount of money to be paid back.
In the first case, the amount to be paid back is;
A = $8,000 + ($8,000 * 9 * 3/100)
= $10160
In the second case;
A = $8,000 + ( $8,000 * 7 * 3.5/100)
A =$ 9960
In the third case;
A = $8,000 + ($8,000 * 8 *4/100)
A = $10560
In the fourth case;
A = $8,000 + ($8,000 * 6 * 4.5/100)
A = $10160
Hence, the least amount is paid back in a 42-month loan with a 7% annual simple interest rate.
Learn more about simple interest: https://brainly.com/question/26437826?
Which expressions are equivalent to 74-x-3)? Select two options.
X )? .
0-54x-21
0-72x-713)
63x-21
067x-4
3
071-x)+7(3)
Answer:
A,EStep-by-step explanation:
Edge 2021
The expressions that are equivalent to 7(-¾x - 3) are:
A. -5¼x - 21
E. 7(-¾x) -7(3)
What are Equivalent Expressions?Equivalent expressions are expressions that have the same values when evaluated or simplified.
Given:
7(-¾x - 3)
Open the bracket
7(-¾x) -7(3)
-5¼x - 21
Therefore, the expressions that are equivalent to 7(-¾x - 3) are:
A. -5¼x - 21
E. 7(-¾x) -7(3)
Learn more about equivalent expressions on:
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What is the perimeter
Answer:
-2x + 3
Step-by-step explanation:
Perimeter means to add all the sides of the triangle. Simply combine like terms:
(3x) + (2x - 5) + (-7x + 8)
(3x + 2x - 7x) + (-5 + 8)
(5x - 7x) + (8 - 5)
-2x + 3
-2x + 3 is your answer.
~
The coordinates below are the three vertices of a rectangle. Identify the fourth
coordinate and the area of the rectangle.
(4 points
O 07.21.45 units squared
O 12.7).45 units squared
O 07.21.28 units squared
O 12.7). 28 units squared
Answer:
(7,2)
45 units squared
Step-by-step explanation:
In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).
AB=DC=5
-3+5=2
BC=AD=9
-2+9=7
Therefore D is (7,2)
We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45
A boat has a top speed of 26 knots and a displacement of approximately 96000 tons. Express the top speed in miles per hour and the displacement in metric tonnes.
Answer:
29.92 miles per hour
87,089.76 metric tonnes
Step-by-step explanation:
Given that the top speed is 26 knots, recall that
1 knot = 1.15078 miles per hour
Hence,
26 knots = 26 * 1.15078
= 29.92028 miles per hour
To 2 decimal places
=29.92 miles per hour
Given that the boat has a displacement of approximately 96000 tons, in metric tonnes...
Recall that
1 ton = 0.907185 metric tonnes
As such,
96000 tons = 0.907185 * 96000
= 87,089.76 metric tonnes
plsss help me solve question 2
Find the solution of the system of equations.
6x – 3y = -30
3x – 6y = 12
Answer:
Step-by-step explanation:
6x – 3y = -30
3x – 6y = 12
Multiply the top equation by 2 and write the bottom equation under it.
12x - 6y = - 60
3x - 6y = 12 Subtract
9x = - 72 Divide by 9
x = - 72/9
x = - 8
6x - 3y = - 30
6*-8 - 3y = -30
-48 - 3y = - 30 Add 48 to both sides.
-3y = - 30 + 48
-3y = 18 Divide by -3
y = -18/-3
y = -6
4. The ratio of the measures of the three angles in a triangle is 7:8:5, what is the
measure of the smallest angle?
Your answer
Step-by-step explanation:
let the angles be ' 7x, 8x and 5x'
as we know, the sum of all the angles of a triangle is 180 degree, so,
7x + 8x + 5x = 180
20 = 180
x = 180/2
x = 90 degrees
7x = 7 × 90 = 630 degree
8x = 8 × 90 = 720 degrees
5x = 5 × 90 = 540 degrees
therefore, 5x is the smallest degrees
Are the two triangles above similar? Why or why not?
A. Yes, they are similar by the AA similarity postulate.
B. Yes, they are similar by the SAS similarity theorem.
C. No, there is not enough information given to prove similarity.
D. No, right triangles are never similar.
No, Triangles with one congruent angle are never similar so the correct option is D.
What is similar triangle?Similar triangles are triangles that have constant form, however their sizes might vary. All equal triangles, squares of any aspect lengths are samples of similar objects. In other words, if 2 triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
For AAA similarity postulate; Two triangles are similar if two corresponding angles of them are of same measure. It is because when two pairs of angles are similar, then as the third angle is fixed if two angles are fixed, thus, third angle pair also gets proved to be of same measure.
If the triangles, have only 1 congruent angles , it can not be said similar because for a triangle to be similar , minimum two criteria must be equal .
Hence we can conclude that triangles with one congruent angle are never similar.
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solve this indices a²b + a³b / a²b²
Step-by-step explanation:
Notice: The literal factors are all the combinations of a and b where the sum of the exponents is 4: a4, a³b, a²b², ab³, b4 ... The solution to the problem of the binomial coefficients without actually ... The upper index n is the exponent of the expansion; the lower index k indicates which term ... 1a5 + a4b + a3b² + a²b3 + ab4 + b5.
Can anyone help me pls
Answer: likely
Step-by-step explanation:
⅛ ÷ 2
Please help! I need to remember this!
Answer:
1/16
Step-by-step explanation:
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
For this type of problem, I do KCF (Keep, Change Flip)
⅛ ÷ 2
Keep the fraction (⅛)
Change the sign to a multiplication (×)
Flip the "2" to its reciprocal ([tex]\frac{1}{2}[/tex])
Now we have a new expression
[tex]\frac{1}{8}[/tex] × [tex]\frac{1}{2}[/tex]
Now we multiply from across
The numerator × Numerator
The denominator × denominator
1 × 1 = 1
8 × 2 = 16
Our answer will be....
[tex]\frac{1}{16}[/tex]
Hope this helped!
Have a supercalifragilisticexpialidocious day!
You deposited $125 in a savings account that earns a simple interest rate of
1.75% per year. You earned a total of $8.75 in interest. For how long was your
money in the account?
9514 1404 393
Answer:
4 years
Step-by-step explanation:
Each year, the interest earned is ...
0.0175 · $125 = $2.1875
Then the time it took to earn $8.75 in interest was ...
$8.75/(2.1875/year) = 4 years
9 more than 6 times a number? How is it written as?
Answer:
6x + 9
Step-by-step explanation:
h(x)=4/x-5
What is the domain of h?
Answer:
domain: (-∞, 5)∪(5, ∞)
domain in interval form: {x|x ≠ 5}
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a 2 or King?
Answer:
0.1538
Step-by-step explanation:
There are 8 cards that are either 2s or Ks.
P(2 or K) = 8/52
P(2 or K) = 0.1538
helppppppppppppppppppppppppppp
Amelia pays $24 to rent a boat at the lake for up to six hours she constructs the inequality and number line below to represent the number of hours X she can use the boat?
Help someone please
Answer:
a) 2/3
b) 1/9
c) 52/99
d) 2/11
e) 743/999
f) 29/111
Step-by-step explanation:
Take the recurring numbers (numbers after the decimal). If there is one recurring number place it over 9, if there are two then place them over 99, if there are three then place them over 999 etc.
Then simplify (if possible).
a) 6/9 = 2/3
b) 1/9
c) 52/99
d) 18/99=2/11
e) 743/999
f) 261/999=29/111
Help please______________________________
Answer:
By rounding each number to the nearst whole number, estimate the solution:
2.7²X4.3=31.347
8.8-5.15=3.65
for this 31 and 4 if you want to round
Step-by-step explanation:
Answer:
?????????
Step-by-step explanation:
Sarah bought 4 2/3 pounds of peaches and 2 1/6 pounds of apples. How many more pounds of peaches did she buy than apples?
Question 5
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
6
11
X
Step-by-step explanation:
a^2 + b^2 = c^2
a = 6
b = x
c = 11
6^2 + b^2 = 11^2
36 + b^2 = 121
b^2 = 121 - 36
b^2 = 85
Find the square root of both sides.
b = 9.22
Which graph represents y = Two-thirdsx + 3?
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (4, 0).
On a coordinate plane, a line goes through points (negative 3, 1) and (0, 3).
On a coordinate plane, a line goes through points (0, 3) and (3, 1).
Answer:
c edge 2021;)
Step-by-step explanation:
Which pair
angles must be supplementary?
21
5
3 4
4 and 1
Step-by-step explanation:
Supplementary means the angle is 180 degrees so 4 is the only complete obvious 180 degree angle and 1 just cause i know it can't be 5.
Answer:
C. 4 and 5
I hope I was able to help.
solve for e
3 + 8e + 5 = -3e +13 + 10e
Factor the expression: -x - 6 =
Answer:
- ( x + 6) I think
so far carmella has collected 14 boxes of baseball cards there are 31 cars n each box carmella estimates that she has about 3000 cards so she buys albums that hold 500 cards each
Answer:
Step-by-step explanation:
zearn.org
MIL
Fraction Problem Solving
Sign out
Hector read of a book in the morning, and he read some more at night. By the end of the day.
he still had of the book left to read. How much of the book did Hector read at night? -)
Solve on paper. Then check your work on Zearn.
1 book
Morning
Left
Night
4
2 / 3
?
Hector read
of the book at night.
Enter ✓
Ray starts walking to school at a rate of 2 mi/h. Ten minutes later, his
sister runs after him with his lunch, averaging 6 mi/h.b. Solve the system
to determine how much time it took Ray's sister to catch up to him.
Your answer
Answer:
Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up
Step-by-step explanation:
The computation of the time taken is as follows:
Let us assume the Ray time be t
So his sister time would be t - 10
Since Ray distance is 2t
So his sister distance is 6(t - 10) = 6t - 60
As the distance is the same
So, the following equation must be made
2t = 6t - 60
-4t = -60
t = 15
Therefore Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up