Answer: 6 years
Step-by-step explanation:
Formula to calculate compound amount: [tex]A=P(1+r)^t[/tex], where P= Principal , r=rate of interest, t= time
Given: P = £400, r = 3% = 0.03 , A= 475
Required equation: [tex]400(1+0.03)^t\geq475[/tex]
[tex]400(1.03)^t\geq475\\\\\Rightarrow\ (1.03)^t\geq\dfrac{475}{400}\\\\\Rightarrow\ (1.03)^t\geq1.1875[/tex]
Taking log on both sides , we get
[tex]t \log 1.03\geq\log1.1875\\\\\Rightarrow\ t(0.0128372)\geq(0.0746336)\\\\\Rightarrow\ t\geq\dfrac{0.0746336}{0.0128372}=5.81385\approx6[/tex]
Hence, he needs to invest the money for 6 years to get atleast £475.
The Empire State Building in New York City is 1,454 feet tall. The observatory on the 86th floor is 404 feet from the top of the building. How high is the observatory above the ground?
Answer:
1,050 ft
Step-by-step explanation:
PLEASE HELPPPPPP!!!!!!!!!!!!!!!!!!!!!
Answer:
B is the correct answer for this
Answer:
Step-by-step explanation:
it's c
_____% of 145 = 75
48.3%
193.3%
76.5%
51.7%
Answer:
51.7%
Step-by-step explanation:
P x 145 = 75
P = 75 / 145
P = .5172
P = 51.7%
Have a nice day! <3
Jessie served 15 pints of orange juice at her party. How many quarts and pints (pints=remainder) of orange juice did she serve?
Answer:
7 quarts and 1 pint
Step-by-step explanation:
2 pints is equal to a quart
15 pints divided by 2 is 7r1
7 is equal to 7 quarts and r1 is equal to 1 pint.
HELP!PLS ANSWER THIS BY TODAY AND TMR
Write a story to represent 15 divided by 19 solve the equation in a complete story
Next when your done what multiplication equation shows that your division is correct
Pls answer this I will give a brainly to the best!
To find the area of a triangle, you can use the expression b × h ÷ 2, where b is the base of the triangle and h is its height. What is the area of a triangle with a base of 2 and a height of 8?
The area of the triangle is....?
Answer:
c² √a²+b²
Step-by-step explanation:
use that formula
PLEASE HELP, I need this test done and something not failed. I dont understand.
Answer:
XVW and WVT
Step-by-step explanation:
Two angles are supplementary angles when the sum of their measures is equaled to 180 degrees.
180 degrees = a line.
YVZ and WVU are Vertical Angles
YVZ and ZVT are not straight lines together.
XVW and WVU are on the same straight line but you have to add UVT in order to get 180.
XVW and WVT are the only ones that look like they can add up to 180 degrees.
XVW and WVT should be the answer, I really hope this helps!
Help me find the slope of the line
Answer:
i think is 2 but i am not sure
Answer:
1/2
Step-by-step explanation:
This is tough because you don’t know the numbers on the side graph, but i’m assuming it’s 1 each.
Find where the line is on a point. Since slope is Rise over run. Go up 1 and sideways 2.
f(x)=6^x for x=2 help please
9514 1404 393
Answer:
f(2) = 36
Step-by-step explanation:
Put 2 where x is and do the arithmetic.
f(2) = 6^2
An exponent of 2 means 6 is a factor two times.
f(2) = 6×6
f(2) = 36
Answer:
36
Step-by-step explanation:
To evaluate f(x) = 6^x at x = 2, substitute 2 for x:
f(2) = 6^2 = 36
What is the value of -2 1/6 -1 1/4 + 1 3/4
a. -1 2/3
b. -1 1/3
c. 2 1/3
d. 2 2/3
PLEASE HELP ASAP I can’t fail this
Answer:
-5,5
5,5
Step-by-step explanation:
what is the answer?
Answer:
Step-by-step explanation:
4/5x<=2
x is less than or equal to 2.5
PLZ HELP ITS ALL MY POINTS
Answer:
30 cm
Step-by-step explanation:
Sorry if im wrong
Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?
9514 1404 393
Answer:
x = 20, or 125
Step-by-step explanation:
We cannot tell the angle x is intended to refer to. So, here are two answers. Choose the one you think applies.
__
The triangle that includes both marked angles is a right triangle. (The tangent meets the circle at right angles to the radius.) So, the angle x° at the external point is the complement of the marked central angle.
x° = 90° -70°
x = 20
__
If x° is referring to the exterior angle associated with the isosceles triangle within the circle, then its measure is the supplement of the interior base angle of that triangle. It is ...
x° = 180° -(180° -70°)/2 = 90° +70°/2
x = 125
what is the definition of the word PER?
Answer:
for each, by means of.
Step-by-step explanation:
For each
Or
By means of
solve by substitute. 9y+8=x. -2x+8y=-36
Answer:
Let's solve for x.
9y+8=x
Step 1: Flip the equation.
x=9y+8
Answer:
x=9y+8
Let's solve for x.
−2x+8y=−36
Step 1: Add -8y to both sides.
−2x + 8y + −8y = −36 + −8y
−2x = −8y − 36
Step 2: Divide both sides by -2.
−2x / −2 = −8y − 36 / −2
x=4y + 18
Answer:
x=4y + 18
Hope it helps
Please mark me as the brainliest
Thank you
Answer:
(26, 2)
x = 26
y = 2
Step-by-step explanation:
Given:
9y + 8 = x
-2x + 8y = -36
Substitute (9y + 8) for x in the second equation.
-2(9y + 8) + 8y = -36
Then distribute and solve.
-18y + (-16) + 8y = -36
Combine like terms.
-10y - 16 = -36
-10y = -20
y = 2
Solve for x by substituting the y value (2) into 9y + 8 = x.
9(2) + 8 = x
18 + 8 = x
x = 26
Therefore, the solution is (26, 2) in terms of (x, y).
5.-Exprese como fracciones ,lo siguiente: a) Los 4 meses del año b) Un día de la semana c) Las tres provincias de la región Costa ecuatoriana
Answer:
Step-by-step explanation:
Expresar lo siguiente como fracciones.
a) Los 4 meses del año
Hay 12 meses en un año. Entonces, la fracción de 4 meses de 12 meses en un año es:
= 4/12
= 1/3
b) Un día de la semana
Hay 7 días en una semana.
Así, la fracción de 1 día en una semana será:
= 1/7
c) Las tres provincias de la región Costa ecuatoriana
En la región de la Costa Ecuatoriana, hay cinco provincias presentes.
Ahora, la fracción de tres provincias del total de cinco provincias de la región de la Costa Ecuatoriana será:
= 3/5
mickel and 4 friend bought a total of 95 raffle tickets if the ticket were dived equaly among themselves how many tickets did each person get?
Answer:
19
Step-by-step explanation:
5 people in total, divide equally from 95
Answer:
Step-by-step explanation:
95/4=23.75
Round 23.75 --> 24.00 raffle tickets each.
6th grade math
help on numbers 4 5 6 plz help
Answer:
4) 6 students
5) 7 fewer students
6) No, you can not tell from the frequency table how many students ran a mile in exactly 12 minutes.
Step-by-step explanation:
4) you’d look at the row from 8:00-8:59.
5) Add the first two rows together (6+2=8), then subtract that by the sum of the last two rows (9+6=15), which is 7
6) There’s no pattern in the frequency table, and the data points would be plotted differently since it’d be from a range of times, not one set time.
Hope this helped, sorry if I’m wrong on #6 ;)
4. 8 students
5. 1 fewer student
6. Approximately 0.15 students
i need help can somebody help me thank you
The school that Mary goes to is selling tickets to a fall musical. On the first day of ticket sales
the school sold 14 adult tickets and 12 child tickets for a total of $260. The school took in $210
on the second day by selling 7 adult tickets and 14 child tickets. What is the price each of one
adult ticket and one child ticket?
A) adult ticket: $9, child ticket: $14 B) adult ticket: S10, child ticket: $10
C) adult ticket: $14, child ticket: $12 D) adult ticket: $7, child ticket: $13
Answer:
c would be the answer
Step-by-step explanation:
At a party there were 4 boys and 4 girls. Boys only danced with girls and girls only danced with boys. At the end of the evening each person was asked how many people they had danced with. The boys gave the answers 3, 1, 2, 2 and three of the girls answered 2. Which answer did the fourth girl give?
The 4th girls answer was 2
The fourth girl danced with two of boys.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
At a party there were 4 boys and 4 girls.
Boys only danced with girls and girls only danced with boys.
In boys, first boys dance with 3 girls
Second boy danced with one girl
Third boy danced with two girls
Fourth boy danced with two girls
3+1+2+2=8
When comes to four girls, three girls said they danced with two boys.
We need to find with how many boys fourth girl danced.
2+2+2+x=8
x+6=8
x=2
Hence, the fourth girl danced with two of boys.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
help pls, Factor 25x-10xy i hop this is easy for you
Answer:
5x(5-2y)
Step-by-step explanation:
If this helped hen consider making my answer brainliest
If the scale factor between a scale drawing of a rectangle and the real object is 1:3 what would be the ratio of the areas?
Answer:
The ratio of the areas will be will be 1 : 9
Step-by-step explanation:
The linear scale factor represents a ratio that is used to multiply the dimensions of objects so that accurate geometries can be transferred between real-life and paper.
The linear scale factor is quite different from the area scale factor but related to it in the following way:
The area factor can be obtained by squaring the linear scale factor.
This is Area factor = (Linear scale factor) ^2.
Linear scale factor = (1:3)
Area factor = [tex]1^2 : 3^2[/tex]
Area factor will be 1: 9
Thus, when the linear scale factor is 1:3 the area factor will be 1 : 9
Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm
Answer:
696 cm because
A tepee has a circular floor with a radius of 3 meters. What is the floor's diameter?
Answer:
6 meters
Step-by-step explanation:
To find diameter if you have radius, multiply the radius by 2. In this case 3 x 2.
Hope it helps!
Step-by-step explanation:
how do i delete this? TwT
A bridge is 3911.1 meters long. Which of the following best describes the length of the bridge in kilometers?
Answer:
3.9111 km
Explanation:
The length in kilometers is equal to the meters divided by 1,000. So, if you divide 3911.1 by 1,000 that equals 3.911. You move the decimal point to the left 3 times based on the number of zeros.
4
Write the equation of the line in slope-intercept form given the following:
Slope 3, yintercept (0,8)
5
Write the equation of the line in point-slope form given the following:
Point : (-5,2), Slope : -3
1
Show Your Work
Answer:
\bold{\text{Slope (m)}=\dfrac{1}{4}}Slope (m)=41
Step-by-step explanation:
A linear equation is of the form: y = mx + b where
m is the slope
b is the y-intercept (where it crosses the y-axis)
x + 4y = 16
4y = -x + 16
y = -\dfrac{1}{4}x+\dfrac{16}{4}y=−41x+416
y=-\dfrac{1}{4}x+4y=−41x+4
The y-intercept (b) = 4
Next, find the slope given point (4, 5) and b = 4
\begin{gathered}y=mx+b\\\\5=m(4)+4\\\\1=4m\\\\\dfrac{1}{4}=m\\\\\\\\\large\boxed{Slope (m)=\dfrac{1}{4}}\end{gathered}y=mx+b5=m(4)+41=4m41=mSlope(m)=41
12. The tomb of Gunbad-Kabud in Maragheh, Iran is the shape of a decagonal tower and has a side length of approximately 8 feet. Determine the distance from the center of the tomb to the outside wall.
Answer:
The distance would be 12.31073415. Rounded, 12.31
Step-by-step explanation:
First off, we know a decagon has 10 sides. Secondly, it is given that the total side length is 8 feet- split in half it's 4 and 4 (this will come into play in the formula). Next, we want to find the angle measure of one of the isosceles triangles. Thus, do 360/10 which gives 36. Then do 36/2 which equals 18. This is the angle measure we need. Now that we have the necessary information, we can set up the formula. Following SOHCAHTOA, we can see that we need to use the tangent to find the apothem since our opposite side length of 4 is given. Set up the equation like so: tan18 = 4/a. When plugged in and solved, the answer of 12.31073415 is received.
I hope that helped!
A sweater is on sale for 12% off. The sale price is $44.00. What is the original amount of the sweater?
==================================================
Work Shown:
x = original price
y = sale price
d = discount = amount saved
d = 12% of x = 0.12x
y = x - d = x - 0.12x = 0.88x
Note how 0.88 = 88%, and this represents the percentage you have to pay if you get 12% off.
We're told the sale price is y = 44, so this leads to...
y = 0.88x
44 = 0.88x
0.88x = 44
x = 44/0.88
x = 50
The original price was $50
---------------------
Check:
If the original price was $50, then the amount you save is 0.12*50 = 6 dollars, which is the discount.
The sale price is 50-6 = 44 dollars which matches up with what your teacher gave you. The answer is confirmed.