Answer:
2cosAcosB = cos( A + B ) + cos( A - B )
At the beginning of year 1, Sam invests $700 at an annual compound interest
rate of 5%. He makes no deposits to or withdrawals from the account.
Which explicit formula can be used to find the account's
beginning of year 4? What is the balance?
at the beginning of year 4, only 3 years have elapsed, the 4th year hasn't started yet, since it's at the beginning, so at the beginning of year 4 we can say only 4-1 years have elapsed.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$700\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=\textit{elapsed years}\dotfill &3 \end{cases}[/tex]
[tex]A=700\left( 1 + \frac{0.05}{1} \right)^{1\cdot 3}\implies A = 700(1+0.05)^3\implies A(4)=700(1+0.05)^{4-1} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A(n)=700(1+0.05)^{n-1}~\hfill[/tex]
22. PLEASE HELP PLEASSSSSSEEEEEEEEEEEEEEE
15 points
Answer:
Step-by-step explanation:
2
A pirate was digging a hole on an island to bury his treasure. If he is able to dig a hole into the sand at 2 feet per minute, what integer would represent how deep the would be after 7 minutes?
Answer:
2(7) = 14 ft.
Step-by-step explanation:
That pirate must be a beast! or have an excavator.
Write an equation and solve the sum of twenty one and five
times a number f is 61
how do I solve it? I don't know how, I can't remember and I don't have my notes
Answer:
-2
Step-by-step explanation:
[tex]\frac{(-2)^3+3 (4)}{-8+6}[/tex]
[tex]= \frac{-8 + 12}{-2}[/tex]
[tex]= \frac{4}{-2}[/tex]
[tex]= -2[/tex]
Answer:
2.3
Step-by-step explanation:
First we must get rid of the exponent, which is that little 3 at the top.
To do this, we will do:
(-2) × (-2) × (-2) = -8
Now we have -8 + 3.4, which equals -4.6
Next we will combine the numbers in the denominator, to get -2.
Now, all together, we have -4.6/-2.
Last but not least, we will divide -4.6 by -2, to get 2.3
And that's your answer, hope this helps you :)
Sorry if it doesn't, though.
Translate the phrase into an algebraic expression: 12acorns per qsquirrels?
Answer:
12/q acorns/squirrel
What is the slope please help you’ll be marked brainliest TYSMMMMMM
Step-by-step explanation:
the slope of a line is the ratio "y coordinate change / x coordinate change" when going from one point to another.
I think I can recognize two good points with integer coordinates :
(-30, -90) and (70, 70)
x changes by +100 (from -30 to 70)
y changes by +160 (from -90 to 70)
the slope is then +160/+100 = 16/10 = 8/5
Round 512.45 to the nearest ones place.
The answer would be 512.
The ratio of girls to boys in a bicycling club was 2:3 they were 27 boys how many total members were there in the club
Answer:
45
Step-by-step explanation:
Ratio is 2girls:3boys
if there were 27 boys, we would have the following ratio:
2g xg
--- = ---
3b 27b
To get from 3 to 27, multiply by 9.
Now, do the same for the numerator.
Now we know we have 18 girls!
We can add:
27 boys and 18 girls=
45 members!
please help me please
[tex] \frac{76}{90} [/tex]
-_-
how about these are they correct?
-355 - 165 = - (355+165) = -520
-150 - 126 = - (150+126) = -276
-201 - 124 = - (201+124) = -325
P/s: they are wrong. you need this " () "
ok done. Thank to me :>
Solve for x + (1/x):
3x + (2/x) - 4 = 2(x+9) - (7 - (1/x))
Answer:
Step-by-step explanation:
Q.
x ÷ 2 = 1.000.000.000
x = ?
x÷2=1.000.000.000
x=1.000.000.000×2
x=2.000.000.000
Check:
2.000.000.000÷2=1.000.000.000
let's find the value of x
x ÷ 2 = 1.000.000.000x = 1.000.000.000*2x = 2.000.000.000✅i need help with number 5
A customer purchased 3 pairs of jeans for $94.50. If each pair of jeans costs the same amount, write an equation and then solve for the amount a single pair of jeans costs
Answer:
One pair of jeans will cost $31.50
Step-by-step explanation:
To find how much one pair of jeans will cost let's write an equation
where the cost of one pair of jeans is x
∴ 3×x=94.50
to find x we will divide both sides by 3
∴3÷3×x=94.50÷3
which makes the equation
∴x=31.50
meaning that one pair of jeans costs $31.50
Emma runs 12 miles in 5 hours. How many miles can Emma run per hour?
Answer:
2.4 miles per hour
Explanation:
Since you ran 12 miles in 5 hours, you have to divide 12 by 5 to get the total amount of miles for 1 hour.
1. is 2/3 and 4/12 equivalent or no 2. is 5/6 and 10/12 equivalent or no 3. is 1/4 and 4/8 equivalent or no?
6/12, 1/2, 10/20, 5/10,
Answer:
Step-by-step explanation:
a computer performs a calculation in 3.5 x 10^-5 seconds to solve a math problem. How long does the computer need to calculate the solutions to 5 x 10^4 math problems. Enter your answer in standard form
Step-by-step explanation:
let's do this in 2 steps :
1. go for 1×10⁴ math problems
2. multiply that result by 5 to fully cover 5×10⁴
1.
3.5×10^-5 × 1×10⁴ = 3.5×10^-1
2.
5 × 3.5×10^-1 = 16.5×10^-1 = 1.65×10⁰
so, the computer needs 1.65×10⁰ or simply 1.65 seconds.
a playground is 750 M long and 250 m broad find the cost of levelling at rupees 16 per 100 square metres
Answer:
Area of play ground = Length × Breadth = 750 × 250 = 187500. a Cost of levelling the ground = 187500 × 16 100 = Rs . 30000
An account earns simple interest. Find the annual interest rate. I = $60 P = $500 t = 2 years The annual interest rate is %. 10
Answer:
100
Step-by-step explanation:
A = P(1 + rt)
A = 500(1 + (0.1 × 2)) = 600
A = $600.00
600-500= 100
Consider the following data for 120 mathematics students at a college concerning the languages French, German, and Russian:
65 study French, 45 study German,
42 study Russian , 20 study French and German,
25 study French and Russian,
15 study German and Russian.
8 study all three languages.
Determine how many students study exactly 1 subject and fill the correct numbers of students in each eight region of Venn diagram shown in figure.
Answer:
check online for more information
The Venn diagram for given situation is as shown below.
The number of students who study exactly one subject = 56
What is set?"It is a collection of well-defined elements"
What is Venn diagram?"It is a pictorial representation that uses circles to show the relationships among sets."
For given example,
We have been given the data for 120 mathematics students at a college concerning the languages French, German, and Russian
Let set A, B and C represents the number of students who study French, German and Russian respectively.
⇒ n(A) = 65
⇒ n(B) = 45
⇒ n(C) = 42
20 study French and German
⇒ n(A ∩ B) = 20
25 study French and Russian,
⇒ n (A ∩ C) = 25
15 study German and Russian.
⇒ n(B ∩ C) = 15
8 study all three languages.
⇒ n(A ∩ B ∩ C) = 8
So, the Venn diagram for given situation is shown below.
Now, we find the number of students who study exactly one subject.
28 students study French only, 18 students study German only and 10 students study Russian only.
So, the total number of students who study exactly one subject is,
28 + 18 + 10 = 56
Therefore, 56 students study exactly one subject
Learn more about Venn diagram here:
https://brainly.com/question/1605100
#SPJ2
Phil must lay concrete down for his back patio and
purchased 23 cubic feet of concrete, what are possible
dimensions of the patio slab? Select all that apply.
Answer:
Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 6 inches for a patio if the concrete costs $42.00 per cubic yard?
Step-by-step explanation:
I HOPE THIS HELPS
Marie bought 1/2 gallon of milk, which she finished after 6 days, If she drank the same amount of milk each day, how many gallons in a day did she drink?
Answer:
Marie drunk 0.083 gallons of milk each day
From 175 yards away, a marksman hit 14/50 of the targets last year.
How do the 2s in 12.5 and 0.912 compare?
A The value of the 2 in 12.5 is 11,000 the value of the 2 in 0.912.
B The value of the 2 in 12.5 is 1100 the value of the 2 in 0.912.
C The value of the 2 in 12.5 is 10 times the value of the 2 in 0.912.
D The value of the 2 in 12.5 is 1,000 times the value of the 2 in 0.912.
Answer:
D The value of the 2 in 12.5 is 1,000 times the value of the 2 in 0.912
Step-by-step explanation:
The value of a digit in a number can be found by setting the other digits to zero.
The value of 2 in 12.5 is 2.
The value of 2 in 0.912 is 0.002.
The ratio of values is 2.000/0.002 = 2000/2 = 1000.
The value of 2 in 12.5 is 1000 times the value of 2 in 0.912.
Answer:
D
Step-by-step explanation:
The answer is D
Which of the following will have the same value as 350 × 10?
Answer: 3500x1 or 35x100
Step-by-step explanation:
350x10=3500
3500x1=3500
35x100=3500
HELP 40 POINTS!!!!!!!!!
If
x
=
4
and
y
=
5
, evaluate the following expression:
2
(
y
−
x
)
Answer:
2 because if y is 5 and x is 4 and we subtract them and get one and then multiply it by two to get two using pemdas
Someone help me it’s number 12
You need to find the x value
Half a number is subtracted from 7 results in 34
Answer:
[tex]-54[/tex]
Step-by-step explanation:
If the number being halved is x, we can write the expression
[tex]7-0.5x=34[/tex]
Now, bring like terms and solve!
[tex]-0.5x=27[/tex]
Multiple both sides by -2 and you get
[tex]x=-54[/tex]
Wanna check the answer? Well...
[tex]7-(-54*0.5)=7+27=34[/tex]