Step-by-step explanation:
Simple Interest = PTR/100
=1000* 30* 6/100
=1800.
Amount= Principal + Interest
= 1000+1800
= $2800
The amount of money that has at the of 30 years is $2800.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.
As per the given,
Principle amount P = $1000
Rate of interest R = 6%
Time span T = 30 years.
Total amount = Principle amount + Interest
Total amount = P + (PRT)/100
Total amount = $1000 + (1000 x 6 x 30)/100
⇒ $2800
Hence "The amount of money that has at the of 30 years is $2800".
For more about simple interests
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Please help me in this question.Tell me if it is good. And if it is not good then do it for me please.
Answer:
Y = 170, Z = 64.
Step-by-step explanation:
Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.
Which is the graph of x Greater-than-or-equal-to 98.6? A number line going from 95 to 103. A closed circle is at 98.6. Everything to the right of the circle is shaded. A number line going from 95 to 103. An open circle is at 98.6. Everything to the right of the circle is shaded. A number line going from 95 to 103. An open circle is at 98.6. Everything to the left of the circle is shaded. A number line going from 95 to 103. A closed circle is at 98.6. Everything to the left of the circle is shaded.
Answer:
The correct option is;
A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.
Step-by-step explanation:
To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to
The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle
Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.
Answer:
the correct answer is A
Step-by-step explanation:
Pls helpppppppppppppp
Answer:
a. √2⁴+3² = √16 + 9
= √25 = 5
The answer is a
b. √10²-2^6 = √100-64
= √36 = 6
The answer is b
Hope this helps.
Answer:
A.) should be C
B.) should be D
90% sure
What can you about the value of a if the equation y=ax^2-8 has no solutions? Plz explain!
Answer:
If a is negative or zero there are no real solutions
Step-by-step explanation:
y=ax^2-8
Set equal to zero to find the solution
0 =ax^2-8
Add 8 to each side
8 = ax^2
Divide by a a cannot be zero or we cannot divide by it
8/a = x^2
Take the square root of each side
sqrt(8/a) = sqrt(x^2)
We need 8/a to be positive for it to have real solutions
That means a has to be positive
If a is negative or zero there are no real solutions
Find the square root of 0.925 using long division method...
Answer:
0.96176920308
Step-by-step explanation:
i think so
Find the least number which must be added to 6203 to obtain a perfect square.
Also, find the square root of the number so obtained.
Answer:
79
Step-by-step explanation:
78
---------
7 | 62 03
49
----------
148 | 13 03
11 84
-----------
19
-----------
78^2 = 6084.
We observe that 78^2 < 6203.
79^2 = 6241.
We observe that 79^2 > 6203.
Hence the number to be added to 6203 is 6241 - 6203 = 38.
6203 + 38 = 3241
= 79 * 79
= 79.
Therefore 38 should be added to 6203 to obtain a perfect square.
Rápido y fácil, trigonometría. Urgente porfavor
Answer:
The angle [tex]\theta[/tex] measures approximately [tex]28.81^o[/tex]
Step-by-step explanation:
Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Then, for our case we get a starting equation that reads:
[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}[/tex]
and for which we need to solve for [tex]\theta[/tex]. Then we use the arctangent function to get the final answer:
[tex]tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o[/tex]
What is ? 5(x+y)-3(x+y)
Answer:
2(x+y)
Step-by-step explanation:
Simple 5-3 with some added variables that don't change.
I need help with these two please help me!
Answer:
0.50
Step-by-step explanation:
Simply plug -2 in for x into the equation.
2(2^-2) = 0.50
Answer:
0.50
Step-by-step explanation:
can someone help me?
Select the correct answer.
If the factors of quadratic function gare (x-7) and (x + 3), what are the zeros of function g?
O A
-7 and 3
-7 and -3
O C.
3 and 7
OD.
-3 and 7
Answer: -3 and 7
Step-by-step explanation:
x - 7
Add 7 to get 0
x - 7 ( + 7) = 0
x + 3
Subtract 3 to get 0
x + 3 ( - 3) = 0
I need help with this problem
Answer: A. 94
Step-by-step explanation:
The formula for surface area is A=2(wl+hl+hw).Wwe are given our values of width, length and height, so we can plug them in.
w=3
l=4
h=5
A=2((3*4)+(5*4)+(5*3))
A=2(12+20+15)
A=2(47)
A=94
Leon has already run 1 mile on his own, and he expects to run 3 miles during each track practice. Write an equation that shows the relationship between the practices p and the distance d.
Answer:
d = 1 + 3p
Step-by-step explanation:
Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.
For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.
Therefore, the relationship between the practices p and the distance d can be expressed as follows.
number of track practice = p
distance covered = d
The distance covered d in miles is 1 miles plus the number of track practice p multiply by 3
d = 1 + 3p
can you please help ?
Answer:
17
Step-by-step explanation:
Plot in the points for each variable to find the y-intercept.
1=-4(4)+c
1=-16+c
1+16=c
17=c
9=-4(2)+c
9=-8+c
9+8=c
17=c
Answer:
Step-by-step explanation:
Given:
2 Points
(4,1) and
(2,9)
Slope
m = (y2 - y1)/(x2 - x1)
y2 = 9
y1 = 1
x2 = 2
x1 = 4
m = (9 - 1) / (2 - 4)
m = 8 / - 2
m = - 4
y intercept
y = mx + b
y = -4x + b
Use (9, 1) to find the y intercept
1 = - 4*9 + b
1 = - 36 + b
b = 37
Answer
The equation is y = - 4x + 37
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit? 5n – 300 = 1,500 5n + 300 = 1,500 5n – 200 + 100n = 1,500 5n – 100 – 200n = 1,500
Answer:
(a) 5n -300 = 1500
Step-by-step explanation:
Profit is the difference between revenue and cost.
RevenueThe revenue the fundraiser will generate apparently comes only from ticket sales. At $5 each, the sale of n tickets will result in revenue of 5n dollars.
CostThe cost the team must pay will be the sum of the cost of the DJ and the cost of the decorations. The team's total cost will be ...
200 +100 = 300
ProfitThe profit is the difference between revenue and cost. The team wants that difference to be $1500, so an appropriate equation for the number of tickets to sell is ...
revenue - cost = profit
5n -300 = 1500
Answer:
5n - 300 = 1,500
Step-by-step explanation:
just got it right on edge
what is the answer to: 3 x 4 + 15- 19 x2037? help
Answer: -38,686
Step-by-step explanation:
3 x 4= 12
-19 x 2037= -38,703
12 + 15= 17
17 -38,703= -38,686
Please help me solve number 14 and 15
Answer:
Step-by-step explanation:
Similarity property,
" If the two triangles are similar then their corresponding sides will be proportional."
14). If ΔPQR ~ ΔUVW,
[tex]\frac{PQ}{UV}=\frac{QR}{VW}=\frac{PR}{UW}[/tex] [Statement}
[tex]\frac{15}{10}=\frac{9}{6}=\frac{6}{4}[/tex]
[tex]\frac{3}{2}=\frac{3}{2}=\frac{3}{2}[/tex] [True}
Therefore, ΔPQR ~ ΔUVW [Theorem - SSS]
15). If ΔFHE ~ ΔDHG,
[tex]\frac{EH}{HG}=\frac{HF}{DH}[/tex] [Statement]
[tex]\frac{24}{6}=\frac{36}{9}[/tex]
4 = 4
Therefore, ΔFHE ~ ΔDHG [Theorem - AA]
If x 3=-27, then what is x?
-3
3
9
Question #8MultipleChoice
Answer:
x=-9
Step-by-step explanation:
3 x=-27
x = -9
Answer:
-9
Step-by-step explanation:
x3 = -27 OR 3x = -27
3x/3 = -27/3
x = - 9
PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT
To support a shelf, the diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm. Which graph represents the possible measures of the diameter of the bolt?
Answer:
Option (1)
Step-by-step explanation:
Diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 to 0.2 cm greater than 1.5 cm.
Let the diameter of the bolt = x cm
Then the value of x will be,
(1.5 - 0.2) cm < x < (1.5 + 0.2) cm
When we plot the possible measures of the diameter of the bolt on a number line,
Measures of x will be between 1.3 cm to 1.7 cm
Option (1) will be the answer.
Answer:
A
Step-by-step explanation:
Its pretty self explainatory, it tells you that the line has to be anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm, so if you look at the graphs A is the only one that maches with what the question in asking.
what is the distance between ( -3, -4) and ( 6, -4) on the coordinate plane
Answer:
The distance between (-3, -4) and (6, -4) is 9 units.
Step-by-step explanation:
First, we must know the distance formula between two points.
[tex]Distance(d)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We will use (-3, -4) for (x₁, y₁) and we will use (6, -4) for (x₂, y₂).
[tex]Distance=\sqrt{(6-(-3)^2+(-4-(-4))^2)}[/tex]
[tex]Distance=\sqrt{(9)^2+(0)^2}[/tex]
[tex]Distance=\sqrt{81+0}[/tex]
[tex]Distance=9[/tex]
So, the distance between the two points is 9 units.
pls answer. i will mark as branliest
Answer:
The supplement to 101° is 79° (since 180 - 101 = 79) so that means, using the exterior angle formula, we can write:
x = 38 + 79 which simplifies to x = 117°.
Answer:
117 degrees
Step-by-step explanation:
38* is one inside angle
to find the other you got to find the rest if you do 180-101 you get 79.
all interior angles of a triangle add up to 180 aswell so 38+79=180 so subtract 180 from those 2 added up and you get 63* now that is the right bottom angle but don't forget a line is 180* so now we do 180-65 and you get 117
OK sorry i had it wrong apparently i cant read
3:7 ratio what fraction does he get
Answer:
3/10
Step-by-step explanation:
Josh and Lucy share some money in the ratio 3:7.
3+7=10
The fraction Lucy gets is 7/10
The fraction Josh must get is 3/10.
Your friend has $100 when he goes to the fair he spends 10 to interfere in 20 on food Rides at the fair cost two dollars per ride which function can be used to determine how much money he has left over after x rides
Answer:
$70-$2x
Step-by-step explanation:
In the beginning, your friend spent $30 on interference and food, leaving him or her $70.
Since every ride costs $2, you multiply the amount of rides he rode by 2 to get how much he spent.
He subtracted that from the money he had which was $70.
Therefore, the equation is $70 - $2x
HELP PLZZZZZZZZZZZZ!!!!!
Answer:
Option (1)
Step-by-step explanation:
''A perpendicular bisector makes 90° with the other line segment and divides the segment into two equal parts."
From the given picture,
If [tex]\overleftrightarrow{DE}[/tex] is a perpendicular bisector of [tex]\overline{AC}[/tex] following properties must be followed.
1). m(∠DBC) = m(∠DBA) = 90°
2). AB ≅ BC
Therefore, additional information we will require is AB ≅ BC
Option (1) will be the answer.
I'll give BRAINLIEST!!
Answer:3
Step-by-step explanation:
The domain is the input (x) value look for 4 in the domain area and find the value in the range are that the arrow is pointing at.
The answer is 3
Select the correct answer. What is the domain of the function represented by this graph?
Answer:
Doman is the x intercpet range
Step-by-step explanation:
all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.
The Answer Is:
All Real Numbers
3 3/5 times (-8 1/3)
Answer:
-30
Step-by-step explanation:
3 3/5 × -8 1/3
Turn to improper fractions.
18/5 × -25/3
Multiply.
-450/15
Divide.
= -30
Cual es el 5% de 6000
Answer:
Explanation:
I hope you understand this
Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is
Answer:
$10,400
Step-by-step explanation:
If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080
It also continues on for 5 years so 2,080*5=$10,400
Answer:
10833
Step-by-step explanation
Use the formula
Sₙ=a₁ [tex]\frac{1-r^n}{1-r}[/tex]
a₁= 2000
r= 1+4%=1.04
n=5
plug back into equation
S₅=2000[tex]\frac{1-1.04^5}{1-1.04}[/tex] =10832.6
Rounded to the nearest dollar $10,833
The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a height of 2 units, and the right cylinder has a height of 6 units. Which conclusion can be made from the given information?
A.) The volume of the triangular prism is half the volume of the cylinder. B.)The volume of the triangular prism is not equal to the volume of the cylinder.
C.)The volume of the triangular prism is twice the volume of the cylinder.
D.) The volume of the triangular prism is equal to the volume of the cylinder.
Answer:
B.)The volume of the triangular prism is not equal to the volume of the cylinder.
Step-by-step explanation:
Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.
Since the prism has height 2 units, its volume V₁ = 2A.
Since the cylinder has height 6 units, its volume is V₂ = 6A
Dividing V₁/V₂ = 2A/6A =1/3
V₁ = V₂/3.
The volume of the prism is one-third the volume of the cylinder.
So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.
So, the volume of the triangular prism is not equal to the volume of the cylinder.