Answer:
50 years
Step-by-step explanation:
Given data
Principal= $500
Rate= 6%
Amount = $2000
The simple interest expression is given as
A=P(1+rt)
Substitute
2000= 500(1+0.06*t)
open bracket
2000=500+ 30t
2000-500=30t
1500=30t
t= 1500/30
t= 50 years
Hence the time is 50 years
Answer:
50 years
Step-by-step explanation:
Formula for simple interest:
I = Prt
where
I = interest earned
P = principal amount deposited
r = annual interest rate
t = number of years
When the account reaches $2000, $500 is from the principal and
$2000 - $500 = $1500 is from the interest.
We use the simple interest formula to find the number of years needed to earn $1500 in interest from $500 principal at 6% interest rate.
1500 = 500 * 0.06 * t
t = 50
Answer: 50 years
Consider the points A (-1, 1), B (1,5) and C (5, 1). M is the midpoint of AB, and N is the
midpoint of BC.
Show that MN is parallel to AC
Step-by-step explanation:
IN ΔAMN ΔABC
Since MN∣∣BC
∠AMN=∠ABC (Corresponding angles)
∠ANM=∠ACB (Corresponding angles)
∴ΔAMN∼ΔABC(By $$AA similarity criterion)
⇒
AB
AM
=
AC
AN
=
BC
MN
(CPST)
Since, M is mid-point of AB,
AM=
2
1
AB,or,
AB
AM
=
2
1
or,
AB
AM
=
AC
AN
=
2
1
AC
AN
=
2
1
5
AN
=
2
1
[∵AC=5cm]
AN=
2
5
cm=2.5cm
Also,
AB
AM
=
BC
MN
=
2
1
7
MN
=
2
1
[∵BC=7cm]
MN=
2
7
=3.5
Ans=AN=2.5cm and MN=3.5cm
solution
Write an equation of the line perpendicular to the given line that contains P.
A plane is in route to drop off much needed medical supplies to a town. At an altitude of 6.4 miles, it located the town airport at an angle of depression of 7.9 degrees. How many horizontal miles left does the plane need to travel? round to the nearest tenth of a mile.
Answer:
The horizontal distance is 46.1 miles.
Step-by-step explanation:
Here, the given question can be explained by the sides of a right angled triangle. Let x represent the horizontal miles, then applying an appropriate trigonometric function;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]7.9^{o}[/tex] = [tex]\frac{6.4}{x}[/tex]
0.1388 = [tex]\frac{6.4}{x}[/tex]
x = [tex]\frac{6.4}{0.1388}[/tex]
= 46.1095
x = 46.1 miles
The plane needs to travel a horizontal distance of 46.1 miles.
Find the eighth term of a geometric sequence for which a,3 = 35 and r= 7.
Answer:
588245.
Step-by-step explanation:
nth term = an = a1 r^(n-1) where a1 = the first term
a3 = 35 = a1 7^(3 - 1)
35 = a1* 49
a1 = 35/49 = 5/7
So the 8th term = (5/7)* (7)^7
= 588245
Find the area of the trapezoids
Answer:
48 square units
Step-by-step explanation:
Each square on the grid is 2 units by 2 units.
Bases: AT = 8; RS = 4
Height: 8
area = (b1 + b2)h/2
area = (8 + 4)(8)/2
area = 48 square units
Answer:
The area of trapezoid is 48 sq units.
Step-by-step explanation:
According to the question,
➻ Trapezoid is consist of many square shapes. Each grid square equals 2 units. We need to find the area of trapezoid.
➻ To find area we need to find the length if base and height of trapezoid.
Calculate the square grids to find base and height. we get.
Base ; SR = 4 units and TA = 8units
Height = 8 units.
Finding the area of trapezoid.
We know that,
Area of trapezoid = ( Base1 + Base2 ) ×Height / 2
plug the values of both base and a height.
Area of trapezoid = ( 4 + 8 ) × 8 / 2
Add the numbers which are in bracket and multiply by 8.
Area of trapezoid = 12 × 8 / 2 = 96/2
Divide 96 by 2.
Area of trapezoid = 48 sq units.
Hence,
The area of trapezoid is 48 sq units.
MARK BRAINLIESTTTTTT
Answer:
i think its c hope it helps
Step-by-step explanation:
Student Council is selling T-shirts to raise money for new volleyball equipment. There is a fixed cost of
$200 for producing the T-shirts, plus a variable cost of $5 per T-shirt made. Council has decided to sell
the T-shirts for $8 each.
A. Write an equation to represent the total cost, C, as a function of the number, n, of T-shirts
produced.
B. Write an equation to represent the revenue, R, as a function of the number, n, of T-shirts
produced
C. Profit, P, is the difference between revenue (R(n)) and expenses (C(n)). Develop an algebraic
function to model the profit.
D. How many T-shirts does the Student Council have to sell to "break even," make a $0 profit?
Answer:
It is A
Write an equation to represent the total cost, C, as a function of the number, n, of T-shirts
produced.
Step-by-step explanation:
:)
what goes up a hill with three legs and goes down a hill with four legs?
Answer:
i don't know what goes up with three leg and goes down with 4
Answer:
u
Step-by-step explanation:
What is the area of the shaded triangle?
State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement
9514 1404 393
Answer:
a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)
b) no; different angles
Step-by-step explanation:
a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.
The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.
Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.
The scale factor relating the second triangle to the first is ...
NC/RL = 45/30 = 3/2
__
b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.
If f(x) = 3x5 - 2x3 + 1, then f(-1) = ? A) -250 B) -248 C) -234 D) 0
Answer: D.0
Step-by-step explanation: i know am right, make me brainliest
A cone has a volume of 602.88 cubic centimeters and a radius of 6 centimeters. What is its height? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
15.98cm
Step-by-step explanation:
Given data
Volume= 602.88cm^3
Radius= 6cm
The formula for the volume of a cone is
V= 1/3 πr^2h
substitute
602.88= 1/3*3.142*6^2*h
602.88=1/3*3.142*36*h
602.88=37.704*h
h= 602.88/37.704
h= 15.98cm
Hence the height is 15.98cm
Cari is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Hartiord was
$225. Now the cost is $335. What is the percent increase? What would be the percent increase the
ainline charges an additional $50 baggage fee with the new ticket price?
The percent increase of the airline ticket is %
Answer:
The percent of the air ticket went up 148% plus the baggage fee would be 168%. The new total is 420$
Step-by-step explanation:
can someone check my answer make sure it's right, if it's wrong can you please explain thanks ❤️❤️
Answer:
it is wrong
Step-by-step explanation:
the reason it is wrong is because I said so
Answer:
I am going to say no BECAUSE there are two y values, on the same point. For it to be linear it should only have one point per value. I think... good luck.
I need help on this plz
I dont know this someone please answer this and show work and FAST! My teacher will call on me soon
Answer:
I can' see this. Can you show it closer? Please!
Step-by-step explanation:
Answer:
ok maybe itll work with this???
Step-by-step explanation:
file:///C:/Users/apple/Downloads/13f2bddc55b71689635395017a167da1%20(1).pdf
I hope it workksss
The sum of two numbers is 80 The difference is 16 Write and solve a system of equations to find the numbers.
Answer:
32+48
Step-by-step explanation:
80- 32= 48
80-48= 32
Answer: 32; 48
Step-by-step explanation:
Let x be the smaller number, and y be the larger number, then we get
x + y = 80
x - y = 16
x - y = 16
x = 16 + y
x + y = 80
16 + y + y = 80
16 + 2y = 80
2y = 64
y = 32
x - y = 16
x - 32 = 16
x = 48
pls help and show work
Answer:
Step-by-step explanation:
3x^2 + 24x + 48 + 43 - 48
3(x^2 + 8x + 16) - 5
3(x + 4)^2 - 5
vertex at (-4,-5)
Answer:
vertex = (- 4, - 5 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = 3x² + 24x + 43 ← factor out 3 from the first 2 terms
= 3(x² + 8x) + 43
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 8x
y = 3(x² + 2(4)x + 16 - 16) + 43
y = 3(x + 4)² - 48 + 43
y = 3(x + 4)² - 5 ← in vertex form
with vertex = (- 4, - 5 )
1. The angle of depression from the top of the
school to the base of the flag pole in front of
the school is 50°. If the flag pole is 35 feet from
the base of the school, find the height of the
school.
Answer:
41.7feet
Step-by-step explanation:
From the question we are given the following
angle of depression = 50°
Distance of the pole from the base of the feet = 35feet (Adjacent)
Required
height of the school (opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 50 = H/35
H = 35tan 50
H = 35(1.1918)
H = 41.7feet
Hence the height of the school is 41.7feet
PLEASE HELP WITH MY HOMEWORK SCREEN SHOT ATTACTCHED
Answer:
first, second and fourth are all correct
Step-by-step explanation:
What is the measure of this angle?
Answer:
25
Step-by-step explanation:
Answer:
? = 25°
Step-by-step explanation:
all triangle interior angles added together = 180°, so:
? = 180° - 119° - 36°
? = 25°
Help please full answer!!
The temperature change in a chemistry experiment was –2 C every 30 min. The initial temperature was 6 C. What was the temperature after 4 h?
Answer:
4 hours/30 min=12
-2*12=-24
6-24=-18
-18°C
Step-by-step explanation:
An adult pass is 3 times as much as a child's pass. What is the cost of the adults pass? Write an expression for the situation
Answer:
however much the Child's pass is x 3 = Adult Pass cost
Step-by-step explanation:
answer this please
don't send a link
Answer:
Supplementary angles
Step-by-step explanation:
AEB and BEC form a straight line.
They add to 180 degrees
AEB+ BEC
150+30
180
That means that they are supplementary angles
Answer: https://www.wattpad.com/story/73852998-feathers-itachi-uchiha-deidara-x-reader-lemon
Step-by-step explanation:
Please help this is for a friend with co vid- 19
Answer:
Hey I know this isn’t an answer but your bf Jordan told me to tell you he is looking for you and he needs to talk to you. Sorry again for wasting ur time but he kinda worried
Step-by-step explanation:
Right answer gets brainlist !!
Robert takes out a loan for $7200 at a 4.3% rate for 2 years. What is the loan future value?
Answer: 7,833
Step-by-step explanation:
Help me with this please
Answer:
x = 138
Step-by-step explanation:
Exterior angle thm:
68 + 70 = x
x = 138
Can some help me with this please and ty.
Answer:
4 centimetres per hour.
Step-by-step explanation:
The figure below is a net for a triangular pyramid.
If all the triangles are equilateral, what is the surface area of
the pyramid, in square centimeters?
Answer:
339.36 cm^2
Step-by-step explanation:
14*12.12=169.68
169.68/2=84.84
84.84= the area of one triangle
(84.84)4=339.36
I'm pretty sure, but check my math if it's wrong
HELP PLEASE VERY MUCH AND THANK YOU!!! look at screenshot
Answer:
They are both correcte
Step-by-step explanation:
Imagine a pizza with 6 slices
Half of 6 slices is 3 slices, or 3/6
If you simplify 3/6, you will get 1/2
So, both fractions are equal, but in different forms.
For better context see images below!
