now, this is assuming the 6% is at simple interest rate.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &19 \end{cases} \\\\\\ A=2000[1+(0.06)(19)]\implies A=2000(1.54)\implies A=3080 \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$4000\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years \end{cases} \\\\\\ 4000=2000[1+(0.06)(t)]\implies \cfrac{4000}{2000}=1.06t \\\\\\ 2=1.06t\implies \cfrac{2}{1.06}=t\implies 1.89\approx t\implies \stackrel{\textit{rounded up}}{2\approx t}[/tex]
Answer:
value in 19 years: $6051
years to double: 12
Use the order of operations to simplify the expression.
(5)^2 - (1/4)^2
[tex]5^2 - \left(\dfrac 14 \right)^2= 25 - \dfrac{1}{16} = \dfrac{400-1}{16} = \dfrac{399}{16}=24\dfrac{15}{16}[/tex]
100 students went on a field trip. Six busses were filled and 10 students traveled in
cars with their parents. How many students were on each bus?
Answer:
15 students in each bus.
Step-by-step explanation:
Subtract 10 from 100 and you get 90 then divide 90 by 6 and that gives you how many students in each bus
Which fraction equals 29 }}16 ?
The polygon given below is a regular pentagon.
A. 54°
B. 108°
C. 135°
D. 540°
Answer:
Step-by-step explanation:
In a regular pentagon, all the angles and sides are equal. So, to find an angle, divide 540 by 5.
Sum of all angles of regular pentagon = 540
measurement of one angle = 540 ÷ 5
= 108°
∠N = 108°
Answer:
B
Step-by-step explanation:
Convert the angle to radians: 85
Answer:
17pi/36 (PLATO answer)
Step-by-step explanation:
What is the value of x? Enter your answer in the box.
Answer:
x = 8
y = 6
Step-by-step explanation:
First and foremost, it's an equilateral triangle, therefore all sides and angles are equal.
Knowing that the sum of angle in a triangle is 180°, therefore each angle is 60°.
Then equating (7x+4)° to 60, we have that,
7x+4=60
7x=60-4
7x=56
x=56÷7
x=8.
Please Help I have tried and can not get the correct answer
Find the x- and y-intercepts of the graph of the function f(x) = -4|x+1| +8
Enter your answers as points, (a,b)
Enter the x-intercepts in order of increasing x-value. if there are no x-intercepts, enter NA in both answer areas
x-intercepts: __________
__________
y-intercepts ___________
Answer:
(-3, 0) and (1, 0)
(0, 4)
Step-by-step explanation:
x-intercept is the point where y = 0.
y-intercept is the point where x = 0.
or points ...
f(x) = y = -4×|x + 1| + 8
let's start with the y-intercept (x = 0)
y = -4×1 + 8 = -4 + 8 = 4
the y-intercept point (only 1 point) is (0, 4).
for x = 0 the absolute value function contains 0+1. and that is always +1.
the x-intercept(s) :
0 = -4×|x + 1| + 8 (dividing by -4)
0 = |x + 1| - 2
|x + 1| = 2
because of the absolute value we have 2 possibilities :
+(x + 1) = 2
x + 1 = 2
x = 1
and
-(x + 1) = 2
-x - 1 = 2
-x = 3
x = -3
so the points of x-intercept are (-3, 0) and (1, 0)
Please help i wan't a good grade but I can't figure this out.
Answer:
angle DCE
Angle DEC
Angle ABF
Step-by-step explanation:
you had the wrong order
Sasha is making custom designs using these small trapezoidal prisms. She wants To cover each of the eight prisms in her current design and strive cloth on all sizes she has 3500 cm² of striped cloth does Sasha have enough cloth to cover all prisons in her current design choose from the drop-down menu to correctly complete the statement
Answer:
the answer is 3040 and does
Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced. Another card is randomly selected. What is the probability of selecting
two prime numbers?
Answer: 1/6
Step-by-step explanation: There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.
Suppose that the volume of a right circular cylinder is 500 A cubic
centimeters and the radius of its base is 5 centimeters. What is the
height of the cylinder?
The height of the right circular cylinder with volume of 500π cubic centimetre and radius of 5 centimetre is 20 cm.
Volume of a cylindervolume = πr²h
where
r = radiush = heightTherefore,
volume = 500π cm³
r = 5 cm
Therefore,
volume of the cylinder = πr²h
500π = 5²πh
500π = 25πh
divide both sides by 25π
500π / 25π = 25πh / 25π
h = 20 cm
learn more on cylinder here: https://brainly.com/question/11083770
Answer:
A) 20 cm
Step-by-step explanation:
Click an item in the list or group of pictures at the botto
correct position in the answer box. Release your mouse
the item to the trashcan. Click the trashcan to clear all y
Rationalize the denominator and simplify.
Answer:
multiply the top number then divide the bottom
Step-by-step explanation:
b^2 – 4ac if a = 2, b = 9, and c = 4
Answer:
49
Step-by-step explanation:
[tex](b)^{2} - 4(a)(c) \\(9)^{2} - 4(2)(4) \\81 - 4(2)(4) \\81 - 32 \\49[/tex]
CAN SOMEONE HELP PLS?? I rlly dont get this.
The little square on the angle means that the entire angle is 90 degrees
The larger angle is made up of two angles of measure 'x - 18' and 'x'
Let's put that into an equation form:
(x - 18) + (x) = 90
2x - 18 = 90
2x = 108
x = 54
So x = 54
Hope that helps!
After hearing about her employer’s health FSA, Yin has decided to enroll in an account. While trying to plan the amount of money to put into her FSA, Yin has made a list of items that she’d like to purchase during the plan year with FSA funds. Using the FSA Eligibility List, select all of the expenses on Yin’s list that she can pay for through money in her FSA.
hypoallergenic earrings
prescription sunglasses
makeup
medical equipment
prescription medications
shampoo
soap
sunscreen
Answer:
Prescription sunglasses
Medical equipment
Prescription medications
Sunscreen
Step-by-step explanation:
Trust me I just did this assignment
PLS HELP!
Which trigonometric function has a range that does not include -0.8?
A.) y=sin x
B.) y=csc x
C.) y=cot x
D.) y=cos x
Answer:
B.) y=csc x
Step-by-step explanation:
The cosecant function has a minimum magnitude of 1, so its range excludes any values in the range -1 < y < 1.
y = csc(x) . . . has a range that does not include -0.8
Mary’s trapezoid-shaped garden has a perimeter of 24 yd. She knows the length of three of the sides, 3 yd, 6 yd, and 9 yd.
What is the length of the fourth side?
Choose...
Answer:
6
Step-by-step explanation:
to find the perimeter of a trapezoid you add all the sides together
therefore we do it backwards
24-3-6-9=6
Solution :-
We know that perimeter is the sum of all sides, and here we have been provided with perimeter and the length of three sides. Now, we can assume the length of other side as any variable, say x. And develop a linear equation, and solve it. Thus,
A/Q,
→ 3yd + 6yd + 9yd + x = 24yd
→ 18yd + x = 24yd
→ x = 24yd - 18yd
→ x = 6yd
Thus, the length of the fourth side is 6yd.
Hope that helps :)
The area of a circle is 100π in². What is the circumference, in inches? Express your answer in terms of
π.
Answer:
20π
Step-by-step explanation:
Area = πr^2
100π = πr^2
solve for r and r = 10
circumference of a circle is 2πr
therefore 2π×10=20π in
What is the length of Line segment A B? Round to the nearest tenth.
Triangle A B C is shown. Angle A C B is a right angle and angle C A B is 75 degrees. The length of C A is 10 meters and the length of hypotenuse A B is x.
9.7 m
10.4 m
37.3 m
38.6 m
Answer:
38.6 m
Step-by-step explanation:
Picture explanation
Hope this Helps!
Please mark Brainlest!
Answer:
38.6 m
Step-by-step explanation:
Please show steps and show restrictions
[tex]\dfrac{x^2+7x+12}{x^2-x-12}\\\\=\dfrac{x^2 +3x+4x +12}{x^2 -4x+3x-12}\\\\=\dfrac{x(x+3)+4(x+3)}{x(x-4)+3(x-4)}\\\\=\dfrac{(x+4)(x+3)}{(x-4)(x+3)}\\\\=\dfrac{x+4}{x-4}\\\\\text{Restrictions:}~ x\neq 4 ,~ x\neq -3[/tex]
Does 3(7x +7) + 5x represent a number that is greater than, less than, or equal to 5(5x + 10)
Answer:
Step-by-step explanation:
from
3(7x +7) + 5x = 5(5x + 10)
21x+21+5x = 25x + 50
26x + 21 = 25x + 50
26x-25x +21 = 50
1x+21 = 50
1x =50-21
x = 29
equal when x= 29
try to x> 29 such as 30
3(7(30) +7) + 5(30) ? 5(5(30) + 10)
1470 ? 800
so greater than when x >29
finally
less than when x<29
Answer:
When x = 29: the expressions are equal
When x < 29: 3(7x + 7) + 5x is less than 5(5x + 10)
When x > 29: 3(7x + 7) + 5x is greater than 5(5x + 10)
Step-by-step explanation:
Given expressions:
3(7x + 7) + 5x5(5x + 10)Expand both expressions:
3(7x + 7) + 5x
⇒ 21x + 21 + 5x
⇒ 26x + 21
5(5x + 10)
⇒ 25x + 50
Equate the expanded expressions and solve for x
26x + 21 = 25x + 50
⇒ 26x - 25x = 50 - 21
⇒ x = 29
Therefore, the expressions are equal when x = 29
When x < 29: 3(7x + 7) + 5x < 5(5x + 10)
When x > 29: 3(7x + 7) + 5x > 5(5x + 10)
Simpifly x + x + y x y
x+x + y * y = 2x + y²
Answer:
[tex]2x + y^{2}[/tex]
Step-by-step explanation:
[tex]\text{If a number is being added to itself, it is basically a number being multiplied by 2. }[/tex]
[tex]\rightarrow x + x[/tex]
[tex]\rightarrow \boxed{\bold{2x}}[/tex]
[tex]\text{If a number is being multiplied by itself, it is basically the number squared.}[/tex]
[tex]\rightarrow y \times y[/tex]
[tex]\rightarrow \boxed{\bold{y^{2}}}[/tex]
Thus, the simplified expression is 2x + y².
MATHEMATICS
NEED
SOME
HELP
OF
YOURS
TY<3
Answer:
The answer is 157 mm.
Step-by-step explanation:
Given;Diameter (d) = 50 mmπ = 3.14To Find;The circumference of the circle.Formula;C = πdNow,
C = πd
C = 3.14 × 50 mm
C = 157 mm
Thus, The circumference of the circle is 157 mm.
Can someone help me!
Answer:
Top left.
Step-by-step explanation:
Find the values of x for which the denominator is equal to zero for 2x^2+5/x^2-2x .
x = 0, x = 2
x = 1, x = 2
none
x = 2
Let's see
[tex]\\ \rm\rightarrowtail x^2-2x=0[/tex]
[tex]\\ \rm\rightarrowtail x(x-2)=0[/tex]
[tex]\\ \rm\rightarrowtail x=0\:or\:x-2=0[/tex]
[tex]\\ \rm\rightarrowtail x=0\:or\:x=2[/tex]
[tex] \green{••••••••••••••••••••••} \blue{••••••••••••••••••••••••••}[/tex]
[tex] \sf {x^2 - 2x = 0} [/tex]
[tex] \sf {x ( x - 2) = 0} [/tex]
[tex] \sf {x = 0 \: or \: x-2 = 0} [/tex]
[tex] \sf \green{ {x = 0 \: or \: x = 2}} [/tex]
#CarryOnLearning
#LibreAngMatuto
Jose explained to his friend, Emily, that when you multiply matrix A by matrix B, you get the same result as if you multiplied matrix B by matrix A. Is he correct? Explain why or why not for full credit
Answer:
yes he is
Step-by-step explanation:
he is correct because say if I multiplied 25 by 10 I would get 250 same would go for if I multiplied 10 by 25 I still would get 250.
I hope this helps
Justin's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make lead balls that have a radius of 7.5in . If lead costs $0.36 per in3 , how much will the lead cost to make one ball?
Answer:
$636.17
Step-by-step explanation:
First, we need to find the volume of the ball. Then, we will solve for the cost of it.
Volume of a sphere and solving for the area:
V = [tex]\frac{4}{3}[/tex]πr³
V = [tex]\frac{4}{3}[/tex]π(7.5)³
V ≈ 1767.15 in³
Now that we have the volume, next we need to find the cost. Since the lead costs $0.36 per in³, and our volume is in in³, we can multiply the volume by the cost.
1767.15 in³ * $0.36 = 636.174
Money rounds to the hundredth place,
636.174 -> $636.17
It will cost $636.17 to make one ball.
Answer:
Volume of a sphere = 4/3 Pi r³
if r = 7.5
= 4/3 pi 7.5³
= 4/3 pi 421.87
= 1687.5/3 pi
= 562.5 Pi
= 1767.15 in³
then
1767.15 x 0.36 = 636.17
if 1 in³ costs 0.36$
then 1767.15 in³ costs 636.17$
1.
3 ft
2 ft
6 ft
what is the surface area of the rectangular prism?
J F F 570 K po 142° G H Find the value of x.
Answer:
I'm stuck on the same question
Step-by-step explanation:
c) Brett buys 120 chocolate bars for £60 He sells them all, making a 50% profit to give to charity. He sells each bar for the same price. How much does he sell each bar for?
Answer:
I believe he sells each bar for .75 cents