Ella and Amy are planning trips to
ten countries this year. There are
12 countries they would like to
visit. They are deciding which
countries to skip, how many ways
are there?

hmmm so let's see first how much is 10% of the earnings of 1470.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 1470}}{\left( \cfrac{10}{100} \right)1470}\implies 147[/tex]

so then

[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 &\$147\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &25 \end{cases}[/tex]

[tex]A=147\left(1+\frac{0.035}{12}\right)^{12\cdot 25}\implies A=147\left( \frac{2407}{2400} \right)^{300}\implies \boxed{A\approx 352.19}[/tex]

Answer:

19.0 cm (3 sf)

Step-by-step explanation:

Formula

[tex]\sf arc \ length=2\pi r \left(\dfrac{\theta}{360}}\right)[/tex]

(where r is the radius)

Arc length of white sector

Radius of white sector = 8 - 4.5 = 3.5 cm

[tex]\sf \implies arc \ length=2\pi \cdot 3.5 \left(\dfrac{50}{360}}\right)=\dfrac{35}{36} \pi \ cm[/tex]

Arc length of grey sector

Radius = 8 cm

[tex]\sf \implies arc \ length=2\pi \cdot 8 \left(\dfrac{50}{360}}\right)=\dfrac{20}{9} \pi \ cm[/tex]

Perimeter of shaded part

Perimeter = arc length (white) + arc length (grey) + 2 x 4.5

                [tex]\sf =\dfrac{35}{36} \pi + \dfrac{20}{9} \pi +9[/tex]

                [tex]\sf =19.0356432...[/tex]

                [tex]\sf =19.0 \ cm \ (3 \ sf)[/tex]

Answer: The corresponding point for the function 4f(x) is (5 , 24)

Step-by-step explanation:

no

Answer:

x+10=-3x+38

Step-by-step explanation:

subtract 10 from both sides Subtract the numbers then add 3x on both sides

[tex]\large\pink{\mid{\underline{\overline{\tt { →\: (-5,1)}\mid}}}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

111.3 cubic inches

Step-by-step explanation:

The dimensions of the rectangular prism are 5.9 x 3.4 x 5.1

volume = length x width x height

V = 5.9 x 3.4 x 5.3

V = 102.306

The dimesnsions of the triangular prism are 3.4 x 5.9 x ?

to find the missing length, 6 - 5.1 = 0.9

3.4 x 5.9 x 0.9

Volume = (3.4 x 5.9 x 0.9)/2

V = 18.054/2

V = 9.027

Add the volumes together

102.306 + 9.027 = 111.333

Round

111.3

Answer:

60m

Step-by-step explanation:

The formula for the area of a parallelogram is base x height.

b x h

6m x 10m = 60m

[tex]\rm Answer:[/tex]

20.125%

[tex]\rm \# KiroToshiroComeback[/tex]

Answer:

it's rectangle...

Step-by-step explanation:

mark me brainliest

Answer:

that's C. Its' a rectangle

It has 2 pairs of parallel sides. and they are the same size.

Answer:

this is wrong

is the answer

if you like my answer please like comment and mark me as brilliant

Answer:

196 Miles

Step-by-step explanation:

Jed Rode=20 miles per hour

jog back 8 miles per hour

28×7 = 196

Answer: 196 miles

Step-by-step explanation: 7(20+8) You have to distribute the 7 to each number(20 & 8). Then add the answers you get from the 7x20 and 7x8.

7x20=140

7x8= 56

56+140=196

Answer:

Increase the learning rate after each mini-batch by multiplying it by a small constant.

Answer
[tex]\sqrt29[/tex]

Step-by-step explanation:

1. Write the distance formula:

[tex]\sqrt(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}[/tex]

2. Substitute

Substitue (6, -4) and (1, -6) into

[tex]\sqrt(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}[/tex]

[tex]\sqrt(1 - 6) ^{2} + (-6 + 4)^{2}[/tex]

3. Calculate

[tex]\sqrt(1 - 6) ^{2} + (-6 + 4)^{2}[/tex]

[tex]\sqrt(-5) ^{2} + (-2)^{2}[/tex]

[tex]\sqrt5 ^{2} + 2^{2}[/tex]

[tex]\sqrt25 + 4[/tex]

[tex]\sqrt29[/tex]

Answer:

P=90°

R=45°

Step-by-step explanation:

PQR=180°

180°-45°=135°

R=45°(iscoles triangle)

P=90°

The time 8:30AM is 3 and half hours before noon.

The fraction that represents 8:30AM is -3 1/2

The time is given as:

Time = 8:30 A.M

Given that Noon is represented by 0.

It means that time before noon would be represented with negative value

8:30AM is 3 and half hours before noon.

So, we have:

8:30AM = -3 1/2

Hence, the fraction that represents 8:30AM is -3 1/2

Read more about fractions at:

https://brainly.com/question/1622425

Answer: $83.16

Step-by-step explanation:

     This means that next year the item will cost 154% of what it is now.

154% / 100 = 1.54

$54 * 1.54 = $83.16

                    Next year the item will cost $83.16.

Answer:

arc sr

Step-by-step explanation:

i can't see the options for the question so lol

im gonna say its sr arc

Answer:

5400

Step-by-step explanation:

the 89 is higher then 5 so it would round the 3 up to a 4

Answer:

5389 rounded to the nearest 100 is 5400

Step-by-step explanation:

we round the number up to the nearest 100 if the last 2 digits  of the number are 50 an d over we round the number down to the nearest 100 if the last 2 digets are 49 and below

Answer:

answer below.

Step-by-step explanation:

1.  1/5----0.2

2. 1/3---0.3 repeating

3.  1/2---0.5

4.  7/10---0.7

5. 3/4---0.75

We want to evaluate

[tex]\displaystyle \int_{-\frac1{\sqrt2}}^{\frac1{\sqrt2}} \sqrt{\left(\frac{x-1}{x+1}\right)^2 + \left(\frac{x+1}{x-1}\right)^2 - 2} \, dx[/tex]

First we note that the integrand is even (replacing x with -x doesn't fundamentally alter the function being integrated), so this is equal to

[tex]\displaystyle 2 \int_0^{\frac1{\sqrt2}} \sqrt{\left(\frac{x-1}{x+1}\right)^2 + \left(\frac{x+1}{x-1}\right)^2 - 2} \, dx[/tex]

The radicand reduces significantly to

[tex]\displaystyle \left(\frac{x-1}{x+1}\right)^2 + \left(\frac{x+1}{x-1}\right)^2 - 2 = \frac{16x^2}{(1-x^2)^2}[/tex]

so that taking the square root, we simplify the integral to

[tex]\displaystyle 8 \int_0^{\frac1{\sqrt2}} \frac x{1-x^2} \, dx[/tex]

which is trivially computed with a substitution of [tex]y = 1 - x^2[/tex] and [tex]dy=-2x\,dx[/tex]:

[tex]\displaystyle -4 \int_1^{\frac12} \frac{dy}y = 4 \int_{\frac12}^1 \frac{dy}y = -4 \ln\left(\frac12\right) = \ln(2^4) = \boxed{\ln(16)}[/tex]

Step-by-step explanation:

1) Even + Even = Even

example : 26 + 22 = 48

2) Odd + Odd = Even

example : 11 + 13 = 24

3) Even + Odd = Odd

example : 43 + 2 = 45

The annual yield to maturity (AYTM) of the Builtrite bonds is at 5.5% for 10 years with a $1,000 par value and the current price of $1,044 is A. 4.9%.

The annual yield to maturity (AYTM) is the total return expected from a bond if the bond is held till maturity.

The AYTM rate is the rate at which all future expected cash flows are discounted to find out the current value or the price of the bond.

We can use the following Yield to Maturity formula to calculate the AYTM.

Yield to Maturity = [Annual Interest + {(FV-Price)/Maturity}] / [(FV+Price)/2]

Annual Interest = Annual Interest Payout by the Bond = $55 ($1,000 x 5.5%)

FV = Face Value of the Bond = $1,000

Price = Current Market Price of the Bond = $1,044

Maturity = Time to Maturity = 10 years

= {$55 + ($1,000 - $1,044)/10} / {($1,000 + $1,044)/2}

= $55 + -4.4 / 1,022

= 50.6/1,022

= 4.95%

We can also use an online finance calculator to check the calculated value above as follows:

N (# of periods) = 10

I/Y (Interest per year) = 4.95%

PMT (Periodic Payment) = $55 ($1,000 x 5.5%)

FV (Future Value) = $1,000

Results:

PV = $1,044

Sum of all periodic payments = $550 ($55 x 10)

Total Interest $503.44

A. 4.9%

B. 5.1%

C. 5.3%

D. 5.5%

Thus, the annual yield to maturity (AYTM) of the Builtrite bonds is at 5.5% for 10 years with a $1,000 par value and the current price of $1,044 is A. 4.9%.

Learn more about the yield to maturity at https://brainly.com/question/26657407

option A

hope it helps...!!

Answer:

The product of a rational number with an irrational number is an irrational number. To see this assume that x is a rational number and y an irrational number. Then let us assume that the product xy is rational, which means that there are integers a,b such that xy=a/b. But then we obtain y=(1/x)(a/b) which is also rational since the set of rational numbers is closed under multiplication. But this is a contradiction since y was assumed to be an irrational number.

Step-by-step explanation:

Question:Now consider the product of a nonzero rational number and an irrational number. Again, assume x =a/b , where a and b are integers and b ≠ 0. This time let y be an irrational number. If we assume the product x · y is rational, we can set the product equal to m/n, where m and n are integers and n ≠ 0. The steps for solving this equation for y are shown. Based on what we established about the classification of y and using the closure of integers, what does the equation tell you about the type of number y must be for the product to be rational? What conclusion can you now make about the result of multiplying a rational and an irrational number?

Answer:2

Answer:

6,7,8,9

Step-by-step explanation:

> means Greater than

< means Less than

Thus,

Any number that greater than 10 would make this inequality true..

Some possible values for x can be:

6,7,8,9,11,12,13,14,15,16,17,18 and so on

[RevyBreeze]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \sin(bx) + c[/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]

General equation:-

So

Min=-2 ,max=4

Hence

midline =c=1

So plugin the values

Answer:

18.85 years

Step-by-step explanation:

Using the [tex]A=P(1+\frac{r}{n} )^{nt}[/tex] we can manipulate it to give us time.

However, let's identify our variables:

A is our final amount which is given to us, $1400.

P is our principle which is $500.

r is our rate which is 5.5% which can be traducted into 0.055.

n is the # of time our money get compounded per year, in this case quarterly means 4 times a year therefore n = 4.

t is time and is what we are trying to solve for.

Now let's manipulate our equation to find t:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{A}{P} =(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{1400}{500} =(1+\frac{0.055}{4} )^{4t}[/tex]

[tex]2.8=1.01375^{4t}[/tex]

[tex]log_{1.01375}(2.8)=log_{1.01375}1.01375^{4t}[/tex]

[tex]log_{1.01375}(2.8)=4t[/tex]

[tex]\frac{log_{1.01375}(2.8)}{4} =t[/tex]

[tex]18.84876253=t[/tex]

It would take about 18.85 years in order for you to accumulate at least $1400.

Answer:

112

Step-by-step explanation:

4x28=112