Answer: [tex]\$1120[/tex]
Step-by-step explanation:
Given
Man borrows $800 for 2 years
Rate of interest is R=20%
Simple interest is given by
[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]
Insert the values
[tex]\Rightarrow S.I.=\dfrac{800\times 20\times 2}{100}\\\\\Rightarrow S.I.=\$320[/tex]
So, total payable amount is
[tex]\Rightarrow 800+320\\\Rightarrow \$1120[/tex]
HELP TIMED QUESTION. Determine whether the equation is an identity or not an identity.
Answer:
It is not an identity.
Step-by-step explanation:
A line has slope 3 and y–intercept 4.
Answer:
1. 4x + y= 3
Step-by-step explanation:
im sure that is the right answer
Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65 how many of each type of coin does she have?
Answer:
She has 23 nickels and 5 dimes.
Step-by-step explanation:
Let n = the number of nickles and d = the number of dimes.
The number of each = 28. Set up the equation:
n + d = 28
Solve for n:
n = 28 - d
The total amount is $1.65 or 165 cents:
5n + 10d = 165
Substitute:
5(28 - d) + 10d = 165
140 - 5d + 10d = 165
140 + 5d = 165
5d = 165 - 140
5d = 25
d = 5, the number of dimes.
Solve for n:
n = 28 - d
n = 28 - 5 = 23, the number of nickles.
Proof:
5n + 10d = 165
5(23) + 10(5) = 165
115 + 50 = 165
165 = 165
Hope this Helps! Have an Awesome Day!!! <3
Step-by-step explanation:
Answer:
Sofia has 23 nickles & 5 dimes
Step-by-step explanation:
The number of each is 28
Form an equation:
[tex]n+d=28[/tex]
Solve for n:
[tex]n=28-d[/tex]
The total amount is $1.65 for 165 cents:
[tex]5n+10d=165[/tex]
Substitute:
[tex]5(28-d)+10d=165[/tex]
[tex]140-5d+10d=165[/tex]
[tex]140+5d=165[/tex]
[tex]5d=165-140[/tex]
[tex]5d=25[/tex]
[tex]d=25/5[/tex]
[tex]d=5[/tex]
Solve for n:
[tex]n=28-d[/tex]
[tex]n=28-5=23[/tex] ⇒ the number of nickles
CHECK:
[tex]5n+10d=165[/tex]
[tex]5(23)+10(5)=165[/tex]
[tex]115+50=165[/tex]
[tex]165=165[/tex]
hope this helps....
Helen drives 195miles in 3 hours
what is her average speed in mph
Answer:
65 mph is the correct answer
Answer:
s=d/t
=195/3
=65 mph
The value of the expression 10 - 1/2^4 x 48
A = 2
B = 4
C = 5
D = 7
Answer:
option d is correct answer
car travels at an average speed of 40 km/h for 0.5 hours.
How far did the car travel in km?
Given :-
A car travels at an average speed of 40 km/h for 0.5 hours.To Find :-
The distance travelled.Solution :-
We know that ,
→ Distance = Speed × Time
So that ,
→ Distance = 40 km/hr × 0.5 hr
→ Distance = 40km/hr × 1/2 hr
→ Distance = 20km .
Hence the required answer is 20km .
Four friends all give each other presents
The total costs of presents is £80.52
Work out the mean cost of presents in pounds
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
[tex]x\approx 49.6^{\circ}[/tex]
Step-by-step explanation:
In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side.
For angle [tex]x[/tex]:
Opposite side is 40Adjacent side is 34Therefore, we have:
[tex]\tan x^{\circ}=\frac{40}{34}[/tex]
Take the inverse tangent of both sides to solve for [tex]x[/tex]:
[tex]\tan^{-1}(\tan x)=\tan^{-1}(\frac{40}{34}),\\x=\tan^{-1}(\frac{40}{34}),\\x=49.63546343\approx \boxed{49.6^{\circ}}[/tex]
*Recall [tex]\tan^{-1}(\tan x)=x\text{ for } x\in (-90^{\circ}, 90^{\circ})[/tex]
Zachary's art club ordered a giant sub sandwich for a party. It was 6 feet long! When the sandwich arrived, Zachary cut it into 16 equal pieces.
How long was each piece?
Write your answer as a proper fraction or mixed number.
Answer:
3/8 feet long
Step-by-step explanation:
Find how long each piece was by dividing 6 by 16:
6/16
Simplify this by dividing each number by 2:
6/16
= 3/8
So, each piece was 3/8 feet long
2x²+10x+12 اريد مساعده
Answer:
2(x+2)(x+3)
Step-by-step explanation:
What is the value of cose in the diagram below?
Answer:
[tex]cos \theta = 0.6[/tex]
Step-by-step explanation:
Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6, opposite = 0.8
[tex]cos \theta = \frac{adjacent}{hypotenuse} , \ where \ adjacent = 0.6 ,\ hypotenuse \ = r= 1[/tex]
[tex]cos \theta = \frac{0.6}{1}\\\\cos \theta = 0.6\\\\\theta = cos^{-1} \ 0.6\\\\\theta = 53.13^\circ[/tex]
The value of cos θ is,
⇒ cos θ = 0.6
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Now, We can Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6, opposite = 0.8
Hence, We can formulate;
⇒ cos θ = 0.6 / 1
⇒ θ = cos ⁻¹ 0.6
⇒ θ = 53.13°
Thus, The value of cos θ is,
⇒ cos θ = 0.6
Learn more about the circle visit:
https://brainly.com/question/24810873
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Which numbers are solutions to the inequality X > 14- 5? Check all that apply.
fractions larger than
14.
decimals larger than 14
145
whole numbers larger than 14
the number 14
fractions smaller than 14
2
Answer:
fractions larger than 14 and one-half
decimals larger than 14 and one-half
whole numbers larger than 14 and one-half
Step-by-step explanation:
Which numbers are solutions to the inequality x greater-than 14 and one-half? Check all that apply.
Given that the inequality is represented by [tex]x>14\frac{1}{2}[/tex], i.e. x > 14.5
This inequality represent all the set of real numbers which are greater than 14.5. Whereas numbers including 14.5 and below are not involved. Hence the numbers that are a solution to this inequality are:
fractions larger than 14 and one-half
decimals larger than 14 and one-half
whole numbers larger than 14 and one-half
A standard deck of cards contains 52 cards. Of these cards there are 13 of each type of suit (hearts, spades, clubs, diamonds) and 4 of each type of rank (A – K). Two cards are drawn from the deck and replaced each time back into the deck. What is the probability of drawing the King of Clubs and a heart from the deck of cards?
Answer: 13%
Step-by-step explanation:
Write the following expression in exponential form:
16x16x16x1.6
0416
0164
16x4
O 16+ 4
Answer:
16x16x16x1.6
Step-by-step explanation:
here's your answer hope it helps you
Plss answer the bottom question
Answer:
200
Step-by-step explanation:
250/100=2.5
2.5*80=200
So the answer is 200
A savings account for a car is set up with an initial balance of $3000, and 125 is added every
month (no other transactions occur on the account).
1. Write the expression:
2. Write the equation equal to the $5,000 car goal:
3. M=
4. How long will it take:
Answer:
1) 3000 + 125m
2) 3000 + 125m = 5000
3) M= 16
4) It would take 16 months
Step-by-step explanation:
Okay so no since there are no other transaction and you already have a balance of 3000 with a monthly Fee of 125 the equation shpuld be like this.
So every month you add 125,we dont know how much months we have to pay so we can use the variable given to us in this case “M”. So your base expression should look like this,
3000 + 125m (3000 base fee that doesnt change, and 125 every month fee)
Then it asked us to put it as the final balance as 5000, so using the base expression we can do this
3000 + 125m = 5000
Now to solve it you would solve it like any other equation
5000-3000=2000
2000=125m
2000/125= 16
Okay so m = 16
M in this case stands for months so the final answer would be it would take 16 months to reach the final balance of 5000
Please answer this to the best of your ability please
Answer:
B) 17 games.
Step-by-step explanation:
Let g represent the number of games Mark played.
Since there is a $5 entrance fee and each game costs an additional $1.25, we can write the expression:
[tex]1.25g+5[/tex]
Which represents that total cost after g games.
Since we know that Mark spent a total of $26.25:
[tex]1.25g+5=26.25[/tex]
Solve for g. Subtract five from both sides:
[tex]1.25g=21.25[/tex]
And divide both sides by 1.25. Hence:
[tex]g=17[/tex]
So, Mark played a total of 17 games.
Our answer is B.
Answer:
Mark played 17 games
Step-by-step explanation:
26.25-5 = 21.25
21.25 divided by 1.25 is 17
~hope this helps~
:)
Which is the graph of the equation y-1=- f (x-3)?
Solve for x. Round to the nearest tenth of a degree, if necessary
Answer:
29°
Step-by-step explanation:
cos x = 84/98
x = cos-1(84/98)
x = 28.9
Explain why the probability that the critical path will be finished in 22 weeks or less is not necessarily the probability that the project will be finished in 22 weeks orless.
Answer:
The question is very not detailed but I assume that because the path will finish does not mean that the whole thing/project will finish.
Step-by-step explanation:
2a is five times bigger than B.
Circle the ratio a:b.
A. 10:1
B. 1:10
C. 5:2
D. 2:5
Answer:
The answer is 2:5
Step-by-step explanation:
The ratio of the variable a over b will be 5/2. Then the correct oprion is C.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
2a is five times bigger than b. Then the equation is given as,
2a = 5b
The ratio of the a: b is given as,
2a = 5b
a / b = 5 / 2
The ratio of the variable a over b will be 5/2. Then the correct option is C.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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What is the slope of the graph?
Please help me ASAP! and thank you
Answer:
214°
Step-by-step explanation:
Full circle measure = 360°
Measure of arc AB = 146° (central angle has the same measure as measure of intercepted arc)
Therefore:
Measure of arc ACB = 360° - arc AB
Measure of arc ACB = 360° - 146°
= 214°
Graph the equation of
= 1/3 − 4
Answer:my uncle john told me D
Step-by-step explanation:Beacause john have a brain
Solve -5x + 5y = 15 and 3x – 2y=-8 by elimination
If someone can help that’d be brilliant
Step-by-step explanation:
-5x+5y=15(multiply by 2)
3×-2y=-8(multiply by 5)
-10×+10y=30
15×-10y=-40
5x=-10
x=-2
Here,
-5x+5y=15.......(I)
and
3x-2y=8.....(II)
Now,
adding 3 in eqn (II)
so, 6x-5y=8
Now,
combining eqn (I) &(II)
-5x+5y=15
+6x-5y=8
[both 5y is cancelled ]
or, x=7
Now,
in eqn(i)
-5x+5y=15
or, -5*7+5y=15
or, -35+5y=15
or, -35-15=-5y
or, -50=-5y
or, -50/-5=y
[minus is cancelled ]
Therefore, y=10 and x=7
Select the correct product. (x^2+4)(x^2-4)
1. X^4-16
2. X^4+16
3. X^2+8x+16
4. X^2-8x-16
Answer:
[tex] ({x}^{2} + 4 )( {x}^{2} - 4) \\ 1)( {x}^{2} - 16) \\ = (x - 4)(x + 4) \\ 2)( {x}^{2} + 16) \\ = (x - 4)(x + 4) \\ 3) {x}^{2} + 8x + 16 \\ {x}^{2} + (4 + 4)x + 16 \\ {x}^{2} + 4x + 4x + 16 \\ x(x + 4) + 4(x + 4) \\ (x + 4)(x + 4) \\ 4) {x}^{2} - 8x - 16 \\ {x}^{2} - (4 + 4)x - 16 \\ {x}^{2} - 4x + 4x - 16 \\ x(x - 4) + 4(x - 4) \\ (x - 4)(x + 4)[/tex]
PLEASE HELP!!! What is the volume of the solid? Let π=3.14.
A. 5,425.92 m3
B. 2,1714.7 m3
C. 8,131.09 m3
D. 3,214.54 m3
Answer:
A. 5,425.92 m3
Step-by-step explanation:
Radius = 24m
Length = 12m
Volume = Area * Length
Area = π * (radius ^2)
Radius = Diameter / 2
Radius = 24m / 2 = 12m
Area = π * (12m^2)
Area = 3.14 * 144 = 452.16m
Volume = 452.16m * 12m
Volume = 5425.92m3
please help!!!
Simplify
3+ 7 X 4
Answer:
31
Step-by-step explanation:
[tex]3+7[/tex] × 4 Multiply first
3 + 28 Then add
31
given the nth term of geometric expression is (as in the diagram)
a) state the value of k
b) the first term of progression
Step-by-step explanation:
a) k = 1
b) geometric progression formula:
Tn = ar^(n-1)
first term, a = 3/2
Please help asap, how do I find the missing variables? (Trigonometry)
Answer:
x = 5.333 , y= 9.620764575
Step-by-step explanation:
sin(29)/x = sin(90)/11
x = 11* sin(29)/sin(90)
x = 5.333
(5.333)^2 + y^2 = 121
y^2 = 121 - (5.333)^2
y= 9.620764575