On solving the provided question we can say that the total interest he pay in 5 year is = $17500.
How much is interest?The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money. The basic interest formula is as follows: Interest is equal to P, R, and T. P is the principal sum (the beginning balance). Interest rate, R (usually per year, expressed as a decimal). T = Number of intervals of time (generally one-year time periods).
Money required to borrow new car is $35,000.
and Rick pay 10% interest per year
so, interest he pay in one year = $35000 x 10% = $3500
total interest he pay in 5 year is = $17500
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Find x, the angle of depression from the top of a lighthouse that is 153 ft above the water level to the waterline of a ship 1071 ft off shore. Round your answer to the nearest tenth of a degree.
Answer:
x = 8.1°
Step-by-step explanation:
Reference angle = x
Opposite side = 153 ft
Adjacent side = 1071 ft
Applying trigonometric ratio (TOA), we have:
[tex] tan(x) = \frac{opp}{adj} [/tex]
[tex] tan(x) = \frac{153}{1071} [/tex]
[tex] x = tan^{-1}(\frac{153}{1071}) [/tex]
[tex] x = 8.1 degrees [/tex] (nearest tenth)
The mass of carbon is 1.995 x 10^-23 grams per atom and the mass of hydrogen is
1.674 X 10^-24 grams per atom. Which is larger?
Answer:
Carbon
Step-by-step explanation:
When the power of 10 is negative, the less the exponent the bigger the number
Answer:
Step-by-step explanation:
the larger number is 1.995x10^-23
what's 6 to the power of 900?
Answer:
5400
Step-by-step explanation:
6x900 =5400 this is the correct answer
4x^2-19x-5=0
Solve by factoring
Answer:
x= −1/4 or x = 5
Step-by-step explanation:
Step 1: Factor left side of equation.
(4x+1)(x−5)=0
Step 2: Set factors equal to 0.
4x+1=0 or x−5=0
Answer:
x= −1/4 or x = 5
The factored form of the equation 4x²- 19x - 5 = 0 is (4x+1)(x-5).
The given equation is 4x²- 19x - 5 = 0.
To factor the quadratic expression on the left-hand side into two binomials.
The binomial factors will have the form (ax + b)(cx + d).
We need to find two numbers whose product is equal to ac (the coefficient of x² term) multiplied by d (the constant term), which is (4)(-5) = -20, and whose sum is equal to the coefficient of the x term, -19.
After considering different factor pairs of -20, we find that -20 and +1 satisfy the requirements.
(4x² - 20x) + (x - 5) = 0.
4x(x - 5) + (x - 5) = 0.
(4x+1)(x-5)=0
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A 40-foot pipe is cut into three sections. The longest section is three times as long as the shortest, and the middle-sized section is 5 feet longer than the shortest. Complete the diagram
by giving a and b as expressions involving x. Do not solve the problem.
P = 40 ft
12
X
b
21
X
P
1
a
Length of
middle-sized
Length of
shortest
section
Length of
longest
section
section
Answer:
P=40
a + b + x = P
a = 3x
b = x + 5
substitute for b & y
3x + (x+5) + x = 40
Step-by-step explanation:
longest section 1 = a
mid length section 2 = b
shortest section 3 = x
P=40
a + b + x = P
a = 3x
b = x + 5
substitute for b & y
3x + (x+5) + x = 40
5x + 5 = 40
5x = 35
x = 7
b = 12
a = 21
600 at 4% for 9 months
Answer:
Monthly payment-$67.78
Step-by-step explanation:
I didn't really know what you wanted so I just put that because that's the only thing to suit it but next time add in more information in your question please.
Laurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50n + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurinda pay if she orders 8 boxes of cards?
Answer:
$55.00
Step-by-step explanation:
$6.50 (8) + $3 = $55.00
Fourteen soccer players want to share nine protein bars after the game. What
fraction of a protein bar will each player get?
Answer:
9/14
Step-by-step explanation:
sorry if im wrong...
Answer and solution and thank you for answer
Answer:
C is the answer not sure
Step-by-step explanation:
77 mi
36 mi
What is the length of the hypotenuse?
C=
miles
Answer:
[tex]\\c=85mi\\[/tex]
Step-by-step explanation:
[tex]77mi^{2} +36mi^{2} =7,225mi\\\\7225mi=c^{2}[/tex]
[tex]\sqrt{7225} =85[/tex]
a rectangle has a length of 8m and a width of 4.5m. A parallelogram has a length of 6 m. The area of the parallelogram is twice the area of the rectangle. What is the height of the parallelogram
Answer:
12m
Step-by-step explanation:
work out the area of the rectangle then times it by 2 because the parallelogram is twice the area of the rectangle. 8 × 4.5m = 36m². 36 ×2 = 72cm². Now you do 72 ÷ 6 = 12 . the answer is 12m.
The height of the parallelogram is 12 meters.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
The area of a rectangle is given by the formula A = lw, where l is the length and w is the width.
The area of the rectangle is A1 = lw = (8 m)(4.5 m) = 36 m².
The area of a parallelogram is given by the formula A = bh, where b is the base and h is the height.
Since the area of the parallelogram is twice the area of the rectangle, we have:
2A1 = A2
2(36 m²) = 72 m²
So the area of the parallelogram is A2 = 72 m².
We are given that the length of the parallelogram is 6 m, so we can use the formula for the area to solve for the height:
A2 = bh
72 m² = (6 m)h
h = 12 m
Therefore,
The height of the parallelogram is 12 meters.
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Write the slope intercept form for an equation that has an equation of -2x + y = 7 and passes through (4,5). *
SLOPE INTERCEPT FORM: y = 7x −23
MATH HELP ME NOWWWWWWWWWWWWWWWWWWWWWWWWWWW
Step-by-step explanation:
I've shown the process in the above picture .
hope this helps
Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4
Answer:
The equation of the Parallel line to the given line is 5x+y-7=0
Step-by-step explanation:
Explanation:-
Given that the line y = - 5x+4 and point (1,2)
The equation of the Parallel line to the given line is ax+by+k=0
Given straight line 5x + y -4 =0
The equation of the Parallel line to the given line is 5x+y+k=0
This line passes through the point (1,2)
5x+y+k=0
5(1)+2+k=0
⇒ 7+k=0
k =-7
Final answer:-
The equation of the Parallel line to the given line is 5x+y-7=0
3(5y + 3) = 39
Please help
Me solve it
Answer:
2
Step-by-step explanation:
3(5y+3) = 39
15y+9 = 39
15y=30
y=2
Evaluate the expression 12/(10-2)-(22-18)
A. 3
B. 4
C. 12
D. 0
Answer:
A
Step-by-step explanation:
6. 5x + 3y = 22
5x – 2y=2
Answer:
the answer would be (2,4)
x=2 y=4
Answer:(2,4)
Step-by-step explanation: n o t h a n k y o u
What is the unit fraction for each part?
A computer salesperson is paid a base amount of $100 for the month. For each computer he sells, he receives $15. This month he would like to make at least $450.
Answer:
He must sell 24 computes
Step-by-step explanation:
100 + 15x = 450
15x = 350
x = 23.33
urgent ASAP answer!!
.) A group of neighborhood families are planning a trip to the museum. Tickets are $25 for adults
and $10 for children. The group also has a coupon for $5 off. The expression 25a + 10c – 5
represents the total cost for a adult and c child tickets. Monica is purchasing tickets for
5 adults and 9 children.
Answer:
$210
Step-by-step explanation:
the expression is 25a+10c-5
where a=adults,c=children
and we have 5adults and 9 children
then 25a + 10c - 5 is
25(5)+10(9)-5
=125+90-5
=210
answer:Monica is going to purchase tickets for 5adults and 9 children for$210
which is the correct description of how to find the volume of a cylinder
Answer:
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .
Step-by-step explanation:
Select the correct answer. What is the solution to the equation?
Answer:
I think there is no solution to this problem
Step-by-step explanation:
Answer:
c because 3x3 is 9 and 3 plus 9 is 12
Step-by-step explanation:
-7x + 12x – 6 = 9
how do i solve this and awnser?
Step-by-step explanation:
3 is the answer
-7x+12x-6=9
when -6 goes to other side it becomes +6
-7x+12x=9+6
5x=15
when 5x which means 5 multiplied to x . When 5 goes other side it becomes division
x=15÷5=3
x=3
Answer it like this
1: answer here
2: answer here
Make sure you round both to the nearest tenth
1.) Radius = 6.5 ft.
2.) Diameter = 14 in.
Radius = 7 in.
I need help please quickly!!
Answer:
37.68
Step-by-step explanation:
A= 3.14 x 4 x 4 = 50.24
50.24 ÷ 4 = 12.56
12.56 x 3 = 37.68
express (4+7i)(2-i) in the form a+ib
(4+7i)(2-i)
multiply it out
8-4i +14i -7i squared
i squared is the same as -1
8-4i+14i-7(-1)
8+7-4i+14i
15+10i
divide by common factor which is 5 in this case
3+2i
a triangle has side lengths of 16 cm and 19 cm which could be the value of the third side 29cm or 19cm. The value Blank cm is the value of the third side
Answer:
19 cm
Step-by-step explanation:
because the third side has to be equivalent to at least one other side.
Find the x- and y-intercepts of the graph of 3x + 2y = 12. State your answers as
whole numbers or as improper fractions in simplest form.
x-intercept:
y-intercept:
Answer:
X intercept: 4
Y-intercept: 6
Step-by-step explanation:
To find the intercept of either x or y, you make the other letter equal to 0. So, to find the x-intercept, you would make y 0 and solve from there by dividing 12 by 3 leaving 4. Then you would do the same with making x equal to zero: 12/2= 6
I hope this helped!
Answer:
5y
4x
Step-by-step explanation:
Simplify the algebraic expression (8x + 16y)/2 + 4(x - y)
It's 8x + 16y/2 + 4x - 4y :))
Answer:
8x+4y
Step-by-step explanation:
Distribute:
=4x+8y+(4)(x)+(4)(−y)
=4x+8y+4x+−4y
Combine Like Terms:
=4x+8y+4x+−4y
=(4x+4x)+(8y+−4y)
=8x+4y
Answer:
=8x+4y
I hope I helped!!