Mario loaned Robert $390 at an interest rate of 18% for 229 days. How much will Robert pay Mario at the end of 229 days? Round your answer to the nearest cent.

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$9000\\ P=\textit{original amount deposited}\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ t=years\dotfill &12 \end{cases} \\\\\\ 9000=Pe^{0.085\cdot 12}\implies 9000Pe^{1.02}\implies \cfrac{9000}{e^{1.02}}=P\implies 3245.35\approx P[/tex]

Answer:

4 yards

Step-by-step explanation:

IG;youngdestinyofficial

Answer:

a. maximum value

b. x = 5

c. domain = all reals , range = y is less than or equal to 72

Step-by-step explanation:

a. maximum because it is a negative function and thats the highest value

b. thats the x value of the vertex which is the highest point

Answer:

  a. 693²

  b. 148.2 yd²

Step-by-step explanation:

The area of a parallelogram is the product of its base length and the height measured perpendicular to that base.

__

  A = bh = (21 m)(33 m) = 693 m²

__

  A = bh = (19 yd)(7.8 yd) = 148.2 yd²

When we add 82.545 and 128.580 we get a total of 211.125, now the closest number to the answer is B. 211.125Addition of Numbers

Given Data

Apart from addition of numbers there are other mathematical operations we can perform on integer numbers like in our example above

they are

Total Number = 82.545 + 128.580Total Number = 211.125

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Answer:

B

Step-by-step explanation:

Took the test, have a good day.

Answer:

200g/0.2kg

Step-by-step explanation:

8 × 25g = 200g

The total mass of the pencil is 200 grams.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that,

A pencil has a mass of 25 grams.

there are 8 pencils.

Total number of pencils = 8

Mass of each pencil = 25 grams

Total mass of the pencils = 8 × 25 = 200 grams

Hence the total mass is 200 grams.

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Answer:

10.35

Step-by-step explanation:

69/3 = 23

45% of 23 = 10.35

It can be inferred that the amount of nuts that Allen requires depends on the amount of the recipe that he wants to make.

According to the information provided, one serving of the recipe calls for one cup of nuts. According to this, it can be inferred that to make a smaller or larger portion of the recipe, this amount must be divided or multiplied.

For example, if Allen calls for making two servings of the recipe, he would use two cups of nuts, while if he calls for making a half serving, he would use half a cup of nuts.

Note: The question is missing because there is some missing information. However I can answer it based on my general prior knowledge.

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Answer:

1/6

Step-by-step explanation:

Answer:

7,876

Step-by-step explanation:

brainliest please

[tex]\text{Area of parallelogram QRST} = QR \times TU = 20 ~in \times 18~in =360 in^2[/tex]

Apply Thales theorem

[tex]\\ \rm\rightarrowtail \dfrac{MR}{RN}=\dfrac{MQ}{QP}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{10}{RN}=\dfrac{8}{5}[/tex]

[tex]\\ \rm\rightarrowtail 8RN=50[/tex]

[tex]\\ \rm\rightarrowtail RN=50/8[/tex]

[tex]\\ \rm\rightarrowtail RN=6.25[/tex]

Answer:

RN = 6.25

Step-by-step explanation:

Triangle Proportionality Theorem: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

Therefore,

MQ : MP = MR : MN

⇒ 8 : (8 + 5) = 10 : (10 + RN)

⇒ 8 : 13 = 10 : (10 + RN)

⇒ [tex]\sf\dfrac{8}{13}=\dfrac{10}{10+RN}[/tex]

Cross multiply and solve:

⇒ 8(10 + RN) = 10 × 13

⇒ 80 + 8RN = 130

⇒ 8RN = 130 - 80

⇒ 8RN = 50

⇒ RN = 50 ÷ 8

⇒ RN = 6.25

Part (a)

  [tex]\int\limits^6_0 {f(x)} \, dx =\int\limits^3_0 {f(x)} \, dx +\int\limits^6_3 {f(x)} \, dx =8+(-7) = 1[/tex]

Part (b)

 [tex]\int\limits^3_6 {f(x)} \, dx =-\int\limits^6_3 {f(x)} \, dx =-(-7) = 7\\[/tex]

Part (c)

[tex]\int\limits^3_3 {f(x)} \, dx =0[/tex]

Part (d)

[tex]\int\limits^6_3 {-5f(x)} \, dx =-5* \int\limits^6_3 {f(x)} \, dx=-5 * -7 =35[/tex]

Hope that helps!

Answer:

Square

Step-by-step explanation:

Answer: 10.3, 9

Step-by-step explanation:

Answer:

⠀

Step-by-step explanation:

⠀

We know,

[tex]{\longrightarrow \qquad \boldsymbol{\pmb{Area_{(semicircle)} = \dfrac{1}{2}( \pi {r}^{2} ) }}}[/tex]

⠀

Where,

⠀

Now, Substituting the values in the formula :

⠀

[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it \dfrac{1}{2} \times 3.14 \times ({8})^{2} }}}[/tex]

[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it \dfrac{1}{ \cancel2} \times 3.14 \times \cancel{64} }}}[/tex]

⠀

[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it {1} \times 3.14 \times 32 }}}[/tex]

⠀

[tex]{\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it {1} \times 100.48 }}}[/tex]

⠀

[tex]{\longrightarrow \qquad \boldsymbol{ \pmb{Area_{(semicircle)} \approx \it 100.48 }}}[/tex]

⠀

Therefore,

Answer:

100.48 cm² ( option 2 )

Step-by-step explanation:

Given:-

To find:-

Solution:-

Area of semi-circle :-

[tex] \frac{1}{2} \pi \: r {}^{2} [/tex]

1/2 × 3.14 × 8²

[tex]100.48 \: cm {}^{2} [/tex]

Check the picture below.

Answer:

1

Step-by-step explanation:

Only 1 line can pass through two points.

Answer:

  (x +10)² +(y +5)² = 9

Step-by-step explanation:

The standard form equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

The radius of your circle is the distance between the center and the given point. Those points lie on the same horizontal line, so the radius is the difference of their x-coordinates:

  r = (-7) -(-10) = 3

The equation of the circle is ...

  (x -(-10))² +(y -(-5))² = 3²

  (x +10)² +(y +5)² = 9

Answer:

  x = 9

  x+7 = 16

Step-by-step explanation:

The triangles in this geometry are similar, so the ratios of corresponding sides are proportional.

  long side/short side = (x+7)/12 = 12/x

  x(x +7) = 12²

  x +7x -144 = 0 . . . . . subtract 144 to put in standard form

  (x +16)(x -9) = 0 . . . . factor

  x = 9 . . . . . . only the positive solution is useful here

The missing lengths are ...

Answer:

60 cm³

volume of triangular prism : area of base * Length

Given:

Find area of base:

[tex]\rightarrow \sf \dfrac{1}{2} * side \ 1 \ * side \ 2 \ * \ sin (\theta)[/tex]

[tex]\rightarrow \sf \dfrac{1}{2} *\ 4 \ * \ 3 \ * \ sin (90)[/tex]

[tex]\rightarrow \sf 6 \ cm^2[/tex]

Volume :

Answer:

60 cm³

Step-by-step explanation:

To calculate the volume of the prism, we need to find the area of the triangle and multiply it by the height of the prism.

⇒ Volume of prism = Area of triangle × Height of prism

Find the area of the triangle

⇒ Volume of prism = (Area of triangle) × Height

⇒ Volume of prism = (1/2 × Base × Altitude) × Height of prism

⇒ Volume of prism = (1/2 × 3 × 4) × Height of prism

⇒ Volume of prism = (3 × 2) × Height of prism

⇒ Volume of prism = 6 × Height of prism

Substitute the height in the volume

⇒ Volume of prism = 6 × Height of prism

⇒ Volume of prism = 6 × 10

Solve for the volume.

⇒ Volume of prism = 6 × 10

⇒ Volume of prism = 60 cm³

Answer:

B. All four sides are congruent

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

d=rt

d is distance

r is speed

t is time

here we need to find (t)

so d/r is t

so t is 455/65

t is 7

Answer:

x=-3

y=-8

I answered your question in the photo sent.

Answer:

the answer should be 477,0457 if x means multiply but if not you are not putting the equation in a correct way

Answer:

4770457

you just need to calculate them

Answer:

m<4 = 80°

Step-by-step explanation:

The 80° angle and <4 are vertical angles.

Vertical angles are congruent. They have the same measure.

m<4 = 80°

Answer:

80°

Step-by-step explanation:

Vertically opposite angles are congruent.

∠4 = 80°

Answer:

a = -2

b =3

c =2

Step-by-step explanation:

f(x) = 2 + 3x – 2x²

Rewrite in descending powers of x

-2x^2 +3x+2

The form is ax^2 +bx +c

a = -2

b =3

c =2

Answer:

See below ↓

Step-by-step explanation:

1)

2)

Answer:

Step-by-step explanation:

Rotate counter-clockwise = from right towards left  

Rotate 90° about the origin = We can think that our rectangle is a flag and that we added a pole to it. The pole is rotated counter-clockwise about the origin until we have the 90°. Where is the flag now positioned?

(Draw a line from origin to one of the rectangle's points; draw another line from origin that is ⊥ to the previous one. You rotate that point 90° from right to left and will lend on the new line.)

1. K (-6, 3) L (-4, 5) M (-1, 2) N (-3, 0) → K' (-3,-6) L'(-5, -4) M'(-2, -1) N'(0, -3)

2. We notice that the rule for rotating 90° about the origin is (x, y)→(-y, x)

Answer:

6 Cups

Step-by-step explanation:

3 cups of sugar to 9 cups of water

1 cups of sugar : 3 cups of water

2 X 3 = 6

Answer:

i don't know this question but you can just measure it