Joshua invested $99,000 in an account paying an interest rate of 4\tfrac{1}{2}4 2 1 ​ % compounded continuously. Melanie invested $99,000 in an account paying an interest rate of 4\tfrac{5}{8}4 8 5 ​ % compounded quarterly. After 16 years, how much more money would Melanie have in her account than Joshua, to the nearest dollar?

Answer:

x + 5+x+7+Х=42units

3x=42-12

x=30/3

x=10

Answers:

x = 18

y = 6

==========================================================

Explanation:

Focus on triangle TRS. This triangle has congruent base angles as shown by the double arcs. This means that the sides opposite these angles (TR and RS) are congruent. So TR = RS.

Because RS = 11, this makes TR = 11 too.

Now move onto triangle UTR. This triangle is equilateral because each angle is the same measure (each angle being 60 degrees).

So UT and TR are the same length, and,

UT = TR

x-7 = 11

x-7+7 = 11+7

x = 18

--------------

Since every angle of triangle UTR is 60 degrees, this makes angle URT 60 degrees and angle TRS to be 180-60 = 120 degrees.

Move back to triangle TRS. We have these interior angles:

For any triangle, the interior angles always add to 180

R+T+S = 180

120+5y+5y = 180

10y+120 = 180

10y = 180-120

10y = 60

y = 60/10

y = 6

Answer: B

Step-by-step explanation:

Answer:

30 units

Step-by-step explanation:

The formula for finding the area of a triangle is 1/2b x h

So b = 12

and h = 5

1/2(12) = 6

6 x 5 = 30

I could be wrong here so

Here's a little tip:

I can tell you're using G.oogle Forms, so you can press ctrl + U and find the answers in the code

Answer:

50.2cm

Step-by-step explanation:

16/sin(65)=17.65 (2 of those)

16/tan(65)=7.46 (base)

17.65+17.65+7.46=50.23

Answer:

32.4

Step-by-step explanation:

i knoiw it

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Given :

Since all sides are equal triangle ABC is congruent to triangle DEF under the SSS congruence criterion.

m∠B = (92+y)°

m∠E = (6y-28)°

We know that :

Which means :

[tex] = \tt92 + y = 6y - 28[/tex]

[tex] =\tt 92 = 6y - 28 - y[/tex]

[tex] =\tt 92 = 5y - 28[/tex]

[tex] = \tt92 + 28 = 5y[/tex]

[tex] = \tt120 = 5y[/tex]

[tex] =\tt y = \frac{120}{5} [/tex]

[tex] =\tt y = 24[/tex]

Thus, the value of y = 24

Then :

angle B :

[tex] =\tt 92 + y[/tex]

[tex] =\tt 92 + 24[/tex]

[tex] = \tt116[/tex]

Thus, the measure of angle B = 116

angle E :

[tex] = \tt6y - 28[/tex]

[tex] =\tt 6 \times 24 - 28[/tex]

[tex] =\tt 144 - 28[/tex]

[tex] =\tt 116[/tex]

Thus, the measure of angle E = 116

Since the measure of both these angles is equal we can conclude that we have found out their correct measures.

measure of segment AC = 2x + 47

Measure of segment DF = 6x + 3

Which means :

[tex] = \tt6x + 3 = 2x + 47[/tex]

[tex] = \tt6x + 3 - 2x = 47[/tex]

[tex] = \tt4x + 3 = 47[/tex]

[tex] \tt4x = 47 - 3 \\ 4x = 44[/tex]

[tex] =\tt x = \frac{44}{4} [/tex]

[tex] =\tt x = 11[/tex]

Thus, the value of x = 11

Let us check whether or not we have found out the correct value of x by placing 11 in the place of x :

[tex] = \tt6 \times 11 + 3 = 11 \times 2 + 47[/tex]

[tex] =\tt 66 + 3 = 22 + 47[/tex]

[tex] =\tt 69 = 69[/tex]

Answer:

60  think

Step-by-step explanation:

Answer:

21 units

Step-by-step explanation:

The formula for solving a triangle is (b×h)/2

So that means 7 × 6 = 42 so then you want to divide 42 by 2

42÷2= 21

Answer:

D 21

Step-by-step explanation:

A=1/2bh is the  formula it’s simpl.

Answer:

1/19

Step-by-step explanation:

In order to find the reciprocal of a number, we need to flop it over.

"Flopping over" is not the same as "changing the sign of the number"

So what does "flopping over" actually mean?

Consult the following formula:-

[tex]\sf{The~reciprocal~of~a~is\mapsto\frac{1}{a} }[/tex]

According to the formula,

[tex]\sf{The~reciprocal~of~19~is~\frac{1}{19}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

2 47/200

I don't know if is right, but that's what I got.

Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

[tex] \int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt [/tex]

[tex] \int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt [/tex]

[tex]= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}[/tex]

[tex] = 330.45 - 109.72 [/tex]

[tex] = 220.7333 [/tex]

Answer: 221

Answer:

28

Step-by-step explanation:

its vertically opposite

Answer:

28

Step-by-step explanation:

Vertical angles always have the same measure, so the measure of DFE would also be 28 degrees

Answer:

102 foot^3

Step-by-step explanation:

First, the box in the middle: 4x3x8=96

Then the 2 other boxes are: 2x(1x1x3)=6

6+96=102

Answer:

the $32 for 5

Step-by-step explanation:

Answer: I think he should get the "Pizza Rocks".

Sorry if its wrong!

Answer:

9/19

Step-by-step explanation:

Number of slots  =38

red balls R  = 38, black balls B = 18, green balls G = 2

we want to calculate

P( Red ball/ previous 4 spins are red) = P( red ball)       [because each spin is independent to other]

= 18/38 = 9/19

Answer:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

Step-by-step explanation:

Step(i)

Given that the system of equations

                 x-y = 6 ..(i)

                y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

        x -(2x-5) =6

       x -2x+5 =6

           -x = 6-5

           -x =1

            x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

       y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

Answer:

Step-by-step explanation:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

Step-by-step explanation:

Step(i)

Given that the system of equations

                x-y = 6 ..(i)

               y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

       x -(2x-5) =6

      x -2x+5 =6

          -x = 6-5

          -x =1

           x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

      y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

Answer:

C

Step-by-step explanation:

the anderton is between 9 and 13

Answer:

B

Step-by-step explanation

Answer:

[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 3x - 5[/tex]

Required

Find f(x + h) - f(x)

In functions:

[tex]f(x + h) = f(x) + f(h)[/tex]

So:

[tex]f(x + h) - f(x) = f(x) + f(h) - f(x)[/tex]

Collect Like Terms

[tex]f(x + h) - f(x) = f(x) - f(x)+ f(h)[/tex]

[tex]f(x + h) - f(x) = f(h)[/tex]

Solving for f(h)

[tex]f(h) = h^2 + 3h - 5[/tex]

So:

[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]

Answer:

Ángulo de 125 grados Cómo se llama

Este ángulo es obtuso porque 120 es un número mayor que 90 y menor que 180. Es decir, la amplitud de este ángulo mide entre los 90º y los 180º: 90º < 120º < 180º.

Step-by-step explanation:

Answer:

podés hacerlo de varias formas cra

Answer:

no

Step-by-step explanation:

Answer:

a) 5/12 probability of selecting a red marble.

b) 7/12 probability of selecting a green marble.

c) 0% probability of selecting a purple marble.

d) All marbles are either red or green, so 100% probability of selecting a red or a green marble

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

a) A red marble

5 red marbles out of 5 + 7 = 12 total marbles

So, 5/12 probability of selecting a red marble.

b) A green marble

7 green marbles out of 5 + 7 = 12 total marbles

So, 7/12 probability of selecting a green marble.

c) A purple marble

There are no purple marbles, so 0% probability of selecting a purple marble.

d) A red or a green marble

All marbles are either red or green, so 100% probability of selecting a red or a green marble

Answer:

The are 30 chocolates in the box.

Step-by-step explanation:

Since there are 2 white chocolates for every plain chocolate in a box of chocolates, and there are no chocolates of any other color in the box, and there are 10 plain chocolates in the box, to determine how many chocolates are there in the box altogether the following calculation must be performed:

10 + (2 x 10) + 0 = X

10 + 20 + 0 = X

30 = X

Therefore, there are 30 chocolates in the box.

Answer:is the bottom left corner “let n ....”

Step-by-step explanation: