As an incoming college freshman, Tina received a 10-year $9,900 Federal Direct
Unsubsidized Loan with an interest rate of 4.29%. She knows that she can begin making
loan payments 6 months after graduation but interest will accrue from the moment the funds
are credited to his account. How much interest will accrue while she is still in school and
over the 6-month grace period for this freshman year loan?
The amount charged on the loan which is the loan interest rate, increases as the time after the initial amount is credited into the account increases.
The interest on the Federal Direct Unsubsidized Loan after 4 years 6 months is $1,911.195Reasons:
The given parameter are;
Loan amount, the principal, P = $9,900
Duration of the loan = 10 years
Loan interest rate, R = 4.29%
Required:
The amount of interest that will accrue while she is still in school and over the 6-months grace period for the freshman loan.
Solution:
Based on a similar question on an online source, we have;
Interest, I = P × R × T
Where;
T = The time = The time the freshman is in school + 6 months
Therefore, normally, we have;
T = 4 years + 6 months = 4.5 years
R = 4.29% = 0.0429
Therefore;
Interest, I = 9,900 × 0.0429 × 4.5 = 1911.195
The interest that will accrue while she is still in school and over the 6-months grace period for the loan, I = $1,911.195
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pls help me! (more info in photo)
Answer:
x+ 3/2y= 15
Step-by-step explanation:
8x+12y=120
To put the equation into standard form, the leading coefficient has to be 1. So, divide the whole equation by 8.
x+ 3/2y= 15
the production of wheat increases from 25 tons to 30 tons the percantage increase in prodution of wheat is
Answer:
20%
Step-by-step explanation:
The percentage change is the difference divided by the original amount, expressed as a percentage.
(30 -25)/25 × 100% = 20%
Production increased by 20%.
Give the function f(x) = -2x -5, determine the value of f(-3)
Answer: 1
Step-by-step explanation: You are given the function f(x) = -2x-5. The value is (-3) which is the input of the function. The output, y is what gives 1.
Plug in -3 into the given of function of f(-3) = -2(-3) - 5 = 1.
Negative x negative is positive which -2(-3) = 6.
Take 6-5 = 1.
The above function can also be written as y = -2x-5.
The only difference is this is written in y= mx+b for and the above problem is written in function notation.
Hope this explanation helps.
The measure of an angle is 1/4 the measure of its compliment find the measure of each angle
Answer:
angle = 72°
complement = 18°
Step-by-step explanation:
x = (90-x) / 4
cross-multiply to get:
4x = 90 - x
5x = 90
x = 18
If the perimeter of a regular hexagon is 1 foot, each side is
how many inches long?
Answer:
2 or...?
Step-by-step explanation:
The hexagon is 2 inches long
Multiply it with the given measurement. 1 foot is 12 inches. This means that the perimeter = 12 in. A hexagon has 6 sides. This means that 12 divided by 6 sides = 2 in.
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—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
The Raitio of 20:360
Answer:
If you need it as a fraction then it is 1/18
Step-by-step explanation:
Select True or False to correctly classify each inequality.
Inequality True False
2.6≤2.6 true or false
−6<−6true or false
3.1>−3.1 true or false
−5≥--5 true or false
[tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex]
[tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex],
[tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex]
so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex]
To classify the statements, we need to evaluate each of them:
[tex]\text{Evaluate }2.6\le2.6\\\implies (2.6<2.6)\text{ or }(2.6=2.6)\\\implies \text{false or true}\\\implies\text{true}[/tex]
so [tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]2.6[/tex] to be equal to itself.
[tex]\text{Evaluate }-6<-6\\\implies\text{false}[/tex]
so [tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex], since [tex]-6[/tex] is equal to itself, not smaller.
[tex]\text{Evaluate }3.1>-3.1\\\implies \text{true}[/tex]
so [tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex], since [tex]x>-x[/tex], for all real numbers
[tex]\text{Evaluate }-5\ge-5\\\implies (-5>-5)\text{ or }(-5=-5)\\\implies \text{false or true}\\\implies\text{true}[/tex]
so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]-5[/tex] to be equal to itself.
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Will give BRAINLIEST
Answer: pentagon
Step-by-step explanation:
Cory has $24 more than twice as much as Stan. Together they have $150. How much money does each have?
Stan has $50 and Cory has $74
Stan has $42 and Cory has $108
Stan has $63 and Cory has $87
Stan has $108 and Cory has $42
Answer: B Stan has $42 and Cory has $108.
Step-by-step explanation:
The awnser is Stan has $42 and Cory has $108 and $108 + $42 = $150.
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Beth borrows $100 from her grandmother. She plans to pay her grandmother $15 a month until the money is paid back. Which equation can be used to determine how much Beth will owe, y , after 5 months?
Answer: The correct answer is y=15(100)−5
Step-by-step explanation:
The equation is written as y = 100 - 5x. Then the amount of money left after 5 months will be $25.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Beth acquires $100 from her grandma. She intends to pay her grandma $15 every month until the cash is taken care of.
Let 'x' be the number of months and 'y' be the remaining amount. Then we have
y = 100 - 15x
The amount of money left after 5 months is calculated as,
y = 100 - 15 (5)
y = 100 - 75
y = $25
The condition is composed of y = 100 - 5x. Then how much cash left following 5 months will be $25.
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Last week the number of bacteria in a petri dish was 2.25×
×
102
10
2
. This week the number of bacteria in the petri dish is 2.75×
×
105
10
5
. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.
Answer:
1221.2 factor increase
Step-by-step explanation:
It is difficult interpreting the numbers. I'll assume:
2.25x10^2 and 2.75x10^5
----
225
275000
The difference(increase) is 274775, or 2.75 x 10^5 to 3 sig figs
There is a (2.75 x 10^5)/(2.25x10^2) or 1221.2 factor increase in bacteria between the two weeks.
Find the equation of the line passing through the point (-1,0) and parallel to the line
y=-1/2x+3/7
A) y= 2x + 2
B) y = -1/2-1/2
C) y = 1/2x+1/2
D) y = - 1/2x+1/2
Answer:
B) y= -½x -½
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
[tex]y = - \frac{1}{2} x + \frac{3}{7} [/tex]
Slope of given line= -½
Since parallel lines have the same slope, slope of unknown line= -½.
y= -½x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -1, y= 0,
[tex]0 = - \frac{1}{2} ( - 1) + c[/tex]
[tex]0 = \frac{1}{2} + c[/tex]
[tex]c = - \frac{1}{2} [/tex]
Thus, the equation of the line is y= -½x -½.
Each car on a commuter train can seat 114 passengers. If the train has 7 cars how many passengers can it seat??
Help me!!!
Can someone please help me with this easy math problem
can someone pls help me expand and simplify 2(3x+4) - 3 (4x-5)
Answer:
23 - 6x
Step-by-step explanation:
2(3x+4) - 3(4x-5)
6x + 8 - 12x +15 (distributing)
23 - 6x (combining like terms)
1)
Find the value of x and y
(34.23 x 2.3) + 432.15
Answer:
The answer is 510.879
Step-by-step explanation:
Multiply parentheses first:
34.23×2.3=78.729
Add to 432.15
=510.879
"Four times the difference of a number and
seven is at least -52."
A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, how much area do the pool and walkway cover?
Answer:
124 tiles
Step-by-step explanation:
2(20+40)
2(60)
120+4=124
What is 5 x 3/4 in fraction
Answer:
3 and 3/4
Step-by-step explanation:
Just ask.
(✿◡‿◡) HAPPY HOLIDAYS!!!
Answer:
15/4 in fraction and 3 3/4 in mixed number.
Step-by-step explanation:
Each mobile bags sold by Ravi’s marble company contains 4 purple marbles for every 7 orange marbles if the bag is 56 orange marbles how many purple marbles does it contain
Answer:
56/7 is 8 so 8x4 is 32 is is easy
The number of purple marbles that the bag contains out of total marbles in the bag is 32.
To find the number of purple marbles in the bag, we can use the given information that each bag contains 4 purple marbles for every 7 orange marbles.
Let's calculate the number of purple marbles in the bag:
1. Given: The bag contains 56 orange marbles.
2. Since the ratio of purple marbles to orange marbles is 4:7, we can set up a proportion:
Purple marbles / Orange marbles = 4 / 7
3. Substitute the given number of orange marbles (56) into the proportion:
Purple marbles / 56 = 4 / 7
4. Now, solve for the number of purple marbles (Purple marbles):
Purple marbles = (4 / 7) * 56
Purple marbles = (4 * 56) / 7
Purple marbles = 224 / 7
Purple marbles = 32
So, the bag contains 32 purple marbles.
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Shania bought a $1455 drum set on the installment plan. The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each.
Answer:
A
Step-by-step explanation:
The area of triangle PQR is 273 cm. Given that PQ = 12.8cm and PQR = 107°, find QR.
[tex]\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times \sin \angle PQR \\\\\\\implies 273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ} \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}[/tex]
Write the equation for the line in slope intercept form
Answer:
y = -x + 5
Step-by-step explanation:
lmk if you want an explanation
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Step-by-step explanation:
complementary angles mean that together they have 90°.
that means that sin(A) = cos(C) and vice versa.
so, the values are the same
cos(C) =24/25
sin(A) = 20/29
find the quotient 3^15 / 3^3
Answer:
531441 OR 3¹² is the answer.
Step-by-step explanation:
3¹⁵/3³
=> 3¹⁵⁻³
=> 3¹²
=> 531441
Therefore, 531441 OR 3¹² is the answer.
Hoped this helped.
Mark has already run 33.4 miles this week. He can run 2.5 miles in one hour. Construct an equation that represents the total number of miles run based on how many hours he runs for. What is the total number of miles he ran if he runs for 17 hours?
Answer:
y = 2.5x + 33.4, y = 75.9 miles
Step-by-step explanation:
Equation is y = 2.5x + 33.4
17 = 2.5 x + 33.4
y = 2.5 (17) + 33.4
y = 42.5 + 33.4
y = 75.9 miles
Evaluate the equation:
4z = 10
z =
Answer:
z = 2.5
Step-by-step explanation:
4z = 10
---- -----
4 4
z = 2.5
hope this helps! :D
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Find 6889 + 3088 + 9062.
1903
pls mark brainliest
if u want
Answer:
19039
Step-by-step explanation:
hope that help mark me brinilylist
you need to explain more
it was easy