Answer:
$ 630
Step-by-step explanation:
One is given the following information:
$7000 was invested in a savings accountOption A: 3% simple interest annuallyOption B: 4% interest compounded annuallyThe problem asks one to find out the amount of interest earned after 3 years of going with option A. The easiest way to do such is to form an equation. The general equation for simple interest is the following:
A * 0.01P(d) = I
Where the parameters indicate the following values,
A = amount invested
P = interest rate
d = time invested (years)
I = amount earned in the form of interest
Substitute the given values into the formula, then simplify to evaluate,
A * 0.01P(d) = I
7000 * 0.01(3)(3) = I
7000 * 0.01(9) = I
7000 * 0.09 = I
630 = I
Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U
Answer:
m∠TRS = 6°
m∠U = 103°
Step-by-step explanation:
In the given figure,
O is the center
RS ∥ VU
m∠V = 103° &
m∠VRT = 71°
So,
m∠V + m∠R = 180° (∵ sum of co-interior angles)
⇒ m∠R = 180° - 103° (m∠V = 103° is given)
∵ m∠R = 77° ...(i)
Now,
m∠R = m∠TRS + m∠VRT
by putting the values given
⇒ m∠TRS = 77° - 71°
∵ m∠TRS = 6°
As we know that,
VURT is a cyclic quadrilateral. So,
m∠U + m∠R = 180°
⇒ m∠U + 77° = 180° (from equation (i)
∵ m∠U = 180° - 77° = 103°
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed
Answer:
cosC = [tex]\frac{7}{25}[/tex]
Step-by-step explanation:
cosC = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{7}{25}[/tex]
Help please me please help me
Answer: (3, 18)
Step-by-step explanation: Where the lines corss the x does not go over 10 so the only other option is a 3. If you cut the box hori in half in you mind, the top half being 15-20 and the bottom half bring 10-14, then you can see the lines cross on the top half. Meaning it’s at 18 not 12.
see question in image
Answer:
Total outcomes with two dice is:
6*6 = 3638Outcomes with sum of 7:
1 &6, 2&5, 3&4, 4&3, 5&2, 6&1 - total of 6Probability:
P(sum of 7) = 6/36 = 1/639Outcomes with sum of 5 or 10:
1&4, 2&3, 3&2, 4&1, 4&6, 5&5, 6&4 - total of 7Probability:
P(5x) = 7/3640Outcomes with same numbers:
1&1, 2&2, 3&3, 4&4, 5&5, 6&6 - total of 6Probability:
P(same) = 6/36 = 1/6Please help explanation if possible
Answer:
45
Step-by-step explanation:
a44 = 2 + (43 × 1) = 2 + 43 = 45
Find the measurement of the angle diagonal indicated in the following parallelogram
Answer:
24units
Step-by-step explanation:
From the parallelogram given, we can see that the line FH bisects EG at V. Hence;
GE = 2GV.
Given that
GV = 12
GE = 2(12)
GE = 24
Hence the measure of the length GE is 24units
How do I find x ………..
Answer:
x = 94
Step-by-step explanation:
The sum of the 4 angles in a quadrilateral = 360°
Sum the 4 angles and equate to 360
x + x + 2x - 75 + x - 35 = 360
5x - 110 = 360 ( add 110 to both sides )
5x = 470 ( divide both sides by 5 )
x = 94
Jenny bough 4 combo packs of popcorn and candy for 32$ at the movie theater, what was the cost of each pack?
Answer:
$8
Step-by-step explanation:
Each pack includes one pack of popcorn and one pack of candy. Since Jenny bought 4 packs, and it cost $32 in total, the equation will look like:
4x = 32
To solve this you divide 4 into each side of the equation:
4x = 32
---- ----
4 4
x = 8
The answer is 8.
Hope this helped.
The fan below has been stretched open as far as it will go to form a semi-circle.
Each of the eighteen sectors formed by the fan consists of the same amount of fabric. The length of
each wooden rod that connects the center of the fan to its edge is 12 cm. The wooden rods are
glued to the fabric forming the fan. Determine the approximate area of each sector.
Answer:
Area of each sector=[tex]12.6cm^2[/tex]
Step-by-step explanation:
We are given that
Length of each wooden od that connects the center of the fan to its edge ,r=12 cm
Total number of sectors=18
We have to find the approximate area of each sector.
Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]
Using the formula
Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]
Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]
Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]
Where [tex]\pi=3.14[/tex]
Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]
You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from. If you randomly choose your character and tool, what is the probability that you wont be a hobbit or use an umbrella
Answer:
The probability that you won't be a hobbit=
[tex] \frac{2}{3} [/tex]
The probability that you won't choose an umbrella=
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
The characters are 3, minus the hobbit gives you 2. So the probability of that=
[tex] \frac{2}{3} [/tex]
The weapons are 5, minus the umbrella is 4. So the probability of that=
[tex] \frac{4}{5} [/tex]
find the measure of the indicated angle to the nearest degree
Answer:
43
Step-by-step explanation:
First you divide the opposite side from the angle by the hypotenuse.
33/44
then you take the inverse sine of 33/44, resulting in
43.43°, which rounds to 43°
what is the total amount of RS.7500 at the rate of 5.5% per annum in 42 months?find it.
Answer:
Please check out the attachments below to get the answer
môt lâm trường lập kế hoạch trồng 1 số ha rừng, theo đó mỗi tuần lâm trường phải trồng 15ha. Trên thực tế nhờ cải tiến kĩ tuật, lâm trường đã trồng được 20ha mỗi tuần. Do đó, lâm trường khong những đã hoàn thành kế hoạch trước thời hạn 1 tuần mà còn trồng thêm được 5ha rừng. Hỏi theo kế hoạch, lâm trường phải trồng bao nhiêu ha rừng?
Step-by-step explanation:
mình nghĩ là như vầy. Chúc bạn học tôt :))))
CAN SOMEONE TELL ME WHT DID I DO WRONG ASAP THANK YOU!!!
The final step. You divided wrong.
8 = 400 / 120 = 10/3
Step-by-step explanation:
The final step. You divided wrong.
[tex] s = \frac{400}{120} = \frac{10}{3} [/tex]
How do I find x and y?
Answer:
x = 20
y = 70
Step-by-step explanation:
Since B and D are parallel :
6x - 10 + 3x + 10 = 180 add/subtract like terms
9x = 180 divide both sides by 9
x = 20
angle represented by y and 6x - 10 are supplementary and their sum is 180
y + 6x - 10 = 180 replace x with 20
y + 6*20 - 10 = 180
y + 120 - 10 = 180
y + 110 = 180 subtract 110 from both sides
y = 70
Please decide !!!!!!!!
9514 1404 393
Answer:
6 pours
Step-by-step explanation:
Here are two 6-step solutions. The four digits represent the contents of the 9,5,4,2 containers (in that order) after a single pour. The starting condition is 9000.
Solution 1:
7002 — 9 > 27200 — 2 > 53240 — 9 > 43510 — 4 > 53312 — 5 > 23330 — 2 > 4Solution 2:
5040 — 9 > 45400 — 4 > 51440 — 9 > 41530 — 4 > 51332 — 5 > 23330 — 2 > 9Helppppp pleaseeee anyoneeeee
Three consecutive integers have a sum of -42. Write and solve an equation to find the three integers.
x + ( x + 1 ) + ( x + 2 ) = -42
Opening the brackets and simplifying :
x + x + 1 + x + 2 = -42
3x + 3 = -42
Now , solving equation :
[tex]\bf \rightarrow \: \:3x \: + \: 3 \: = \: -42[/tex]
[tex]\bf \rightarrow \: \: 3x \: = \: -42 \: - 3[/tex]
[tex]\bf \rightarrow \:3x \: = \: -45 \: [/tex]
[tex]\bf \rightarrow \:x \: = \: \frac{ - 45}{ \: 3} \\ [/tex]
[tex]\bf \rightarrow \:x \: = \: \cancel\frac{ - 45}{ \: 3} \: \: ^{ - 15} \\ [/tex]
[tex]\bf \rightarrow \:x \: = \: - 15[/tex]
[tex]{\boxed{ \Large{ \red{ \rm{ \underline{ Now \: \: substitute}}}}}}[/tex]
[tex]\bf \implies \: \:x \: = \: - 15[/tex]
[tex]\bf \implies \: \:x \: + \: 1 \: = \: - 15 \: + \: 1 \: = \: - 14[/tex]
[tex]\bf \implies \: \:x \: + \:2 \: = \: - 15 \: + \: 2 \: = \: - 13[/tex]
-15 , -14 and -13 are the three consecutive integers.
When a potential difference across a resistor is 2.0 V with a current of 1.5 A. What is its resistance?
V = IR
2 = 1.5 x R
R = 2 / 1.5
R = 1 1/3 ohms
Hope this helps!
pls help
5 1/3 ÷ 1 7/9
Answer:
3
Step-by-step explanation:
5 1/3 ÷ 1 7/9
Change to improper fractions
5 1/3 = (3*5+1)/3 = 16/3
1 7/9 = (9*1+7)/9 = 16/9
16/3 ÷ 16/9
Copy dot flip
16/3 * 9/16
Rewriting
16/16 * 9/3
1*3
3
Can someone help me out please
Answer:
12
Step-by-step explanation:
vzhhhdhx
gxbdhd
hdhdhx
hjcjc
Answer:
Step-by-step explanation:
pi = 3.14
r = 11 yds
Formula
Area = 4 pi r^2
Solution
Area = 4 * 3.14 * 11 ^2
Area = 1519.76
Area = 1519.8 rounded to the nearest 1/10
Find the distance across the lake. Assume the triangles are similar.\
A. 300 m
B. 425 m
C. 210 m
D. 283 m
Answer: A. 300 m
Work Shown:
L/100 = 15/5
5L = 100*15
5L = 1500
L = 1500/5
L = 300
how many degrees does a unit angle measure a 10° B 90° c 180 degrees d 100 degrees
The domain for f(x) and g(x) is all real numbers.
Let f(x) = x2 + 1 and g(x) = x4 − 1.
Find f · g.
A.
x6 + x4 − x2 − 1
B.
x4 + x2 − 1
C.
x8 + x4 − x2 + 1
D.
x6 − x2 − 1The domain for f(x) and g(x) is all real numbers.
Answer:
A
Step-by-step explanation:
(f*g)(x) = f(x) * g(x)
=(x2+1)(x4-1)=x6-x2+x4-1
Please help will give brainliest
[tex]x {}^{2} + 17x + 30[/tex]
Factorising It[tex]x {}^{2} + 2x + 15x + 30 \\ \\ = x(x + 2) + 15(x + 2) \\ \\ = (x + 2)(x + 15)[/tex]
[tex] \therefore[/tex] A= 2 And B= 15
Hope This Helps You ❤️What is the surface area of the sphere below?
A. 324pi units^2
B. 324pi^3 units^2
C. 36pi units^2
D. Cannot be determined
Answer:
C. 36π units²
Step-by-step explanation:
Surface area of a sphere: 4πr²
[tex]4\pi r^2\\4\pi (3)^2\\4\pi (9)\\36\pi[/tex]
Rationalize the denominator and simplify:
a) (√3 - √2)/( √3+√2)
b) (5+2√3)/(7+4√3)
c) (1+√2)/(3 - 2√2)
Answer:
A) (√3-√2)/(√3+√2)
Step-by-step explanation:
i think so
The tens digits of a certain two-digit number is 1/3 of the units digit. When the digits are reversed, the new number exceed twice the original number by 2 more than the sum of the digits. Find the original number.
Answer:
The orginal number is 26.
Step-by-step explanation:
So the units digit can be 3 6 or 9
The tens digit can be 1 2 or 3
So the original number can be 13
31 = 2*13+ (1+3) + 2
31 =? 26 + 4 + 2
This doesn't work. The right side is 32
26
62 = 2*26 + 8 + 2
62 = 52 + 8 + 2
This is your answer.
3 and 9 won't work because 39 is odd and so is 93. The result has to be even.
Complete the table, and then use the drawing tools to create the graph representing the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x.
The complete table of the function is:
[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]
The equation missing from the question is:
[tex]y = 72 - 12x[/tex]
To complete the table, we simply calculate the y value for each x value;
When [tex]x = 0[/tex], [tex]y = 72 - 12 * 0 = 72[/tex]
When [tex]x = 1[/tex], [tex]y = 72 - 12 * 1 = 60[/tex]
When [tex]x = 2[/tex], [tex]y = 72 - 12 * 2 = 48[/tex]
When [tex]x = 3[/tex], [tex]y = 72 - 12 * 3 = 36[/tex]
When [tex]x = 4[/tex], [tex]y = 72 - 12 * 4 = 24[/tex]
When [tex]x = 5[/tex], [tex]y = 72 - 12 * 5 = 12[/tex]
When [tex]x = 6[/tex], [tex]y = 72 - 12 * 6 = 0[/tex]
So, the complete table is:
[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]
To create a graph of f(x), we simply type [tex]y = 72 - 12x[/tex] on a drawing tool and the graph will be generated.
See attachment for graph
Learn more about graphs at:
https://brainly.com/question/20106471
Answer:
Step-by-step explanation:
Borgir?
Plz answer, I'll give brainliest...
Answer:
What do uh mean?.......
