Suppose you invest $1800 at an annual interest rate of 3.3% compounded
continuously. How much will you have in the account after 1.5 years?

Answers

Answer 1

Answer:

$1,890

Step-by-step explanation:

To find the amount, we use the compound interest formula here

we have this as;

A = P(1 + r/n)^nt

Where ;

P is the amount invested which is $1,800

r is the interest rate which is 3.3% annually (3.3/100 = 0.033)

n is the number of times yearly interest is compounded which is 1 time yearly

t is the number of years which is 1.5 years

substituting these values, we have

A = 1800( 1 + 0.033)^(1 * 1.5)

A = 1,890


Related Questions

which choice is equivalent to the expression below? 7x√2 - 4√2 + x√2

A. 6x√2 - 3√2
B. 5x^2√2
C. 3x√2
D. 8x√2 - 4√2

Answers

Answer:

D

Step-by-step explanation:

[tex]8x \sqrt{2} - 4 \sqrt{2} [/tex]

If the campers at Camp Grilled Meat prefer hot dogs to hamburgers by a ratio of 4:3, and they need 500 hot dogs, how many hamburgers will they need?

Answers

Step-by-step explanation:

jsndmdmsmsnananansndbdbnd

find the vertex of this parabola y=-2x ^2-4x-5

Answers

Answer:

(1, -13)

Brainliest, please!

Step-by-step explanation:

To find the x coordinate of the vertex, we use the formula, -b / 2a. In this problem, a = 2, and b = -4. c is -5, but we don't need to know it.

- -4 / 2(2) = 4 / 4 = 1

Vertex = (1, y)

Next, we plug 1 back into the parabola equation for x to solve for y.

y = -2(1)^2 - 4(1) -5

y = -2^2 - 4 - 5

y = -4 - 4 - 5

y = -8 - 5

y = - 13

Vertex = (1, -13)

15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer

Answers

nobody is helping me out rip

what number is smallest 2,-3,-10,-5,-2-1

Answers

Answer:

2,-3,-10,-5,-2-1

The smallest number is -10

Answer:

it's -10

Step-by-step explanation:

Well, if you look at the number line, numbers start from the left going to the right and the ones before the 0 ( the negative ones) are the smaller ones. And here if you arrange them from the smallest, -10 is the smallest and 2 is the biggest.

hope this helps

The temperature on a mountain peak was 7 degreesFahrenheit (F) at 6:00 p.m. By 8:00 p.m., thetemperature had dropped to 0F. If the temperaturecontinued to drop at about the same rate, which isthebestestimate of the temperature at 11:00 p.m
A -20 / B. -14 / C -10 / D -9 /

Answers

Given:

The temperature on a mountain peak was 7°F at 6:00 p.m.

By 8:00 p.m., the temperature had dropped to 0°F.

To find:

The temperature at 11:00 p.m. if the temperature continued to drop at about the same rate.

Solution:

Time between 6:00 p.m. to 8:00 p.m. is 2 hours.

Change in temperature in 2 hours is -7°F.

Change in temperature in 1 hours is [tex]-\dfrac{7}{2}^\circ[/tex]F.

Time between 8:00 p.m. to 11:00 p.m. is 3 hours.

Change in temperature in 3 hours is [tex]3\times \dfrac{-7}{2}^\circ[/tex]F, i.e., [tex]-\dfrac{21}{2}^\circ[/tex]F.

Now, the temperature at 11:00 p.m is:

[tex]0-\dfrac{21}{2}=-10.5[/tex]

Therefore, the temperature at 11:00 p.m. is -10.5°F.

Note: All options are incorrect.

Find the missing value.
Hint: Use the number line to find the missing value.
了。
-(-2)
{

-10
-5

15
0
5
10
-15

Answers

Answer:

-5

Step-by-step explanation:

-5 -(-2)

=-7

I hope this helped!

what is the probability notation for the probability for choosing a green marble?

Answers

The probability notation for the probability for choosing a green marble is [tex]P(G)=\frac{n(G)}{n(T)}[/tex], where [tex]n(G)[/tex] denotes the number of green marbles and [tex]n(T)[/tex] denotes the number of total marbles in the bag (or from wherever we are choosing).

The probability of occurrence of an event is the ratio of the number of favorable outcomes and the total number of outcomes, where the favorable outcomes are the outcomes that implies the occurrence of the event.

Here, the event is "choosing a green marble". So, the number of green marbles in the bag is the number of favorable outcomes and the total number of marbles in the bag is the total number of outcomes.

Denoting [tex]G[/tex] as the event of "choosing a green marble", the notation [tex]P(G)[/tex] denotes the probability of event [tex]G[/tex], that is, probability of choosing a green marble.

Denoting [tex]n(G)[/tex] and [tex]n(T)[/tex] as the number of green marbles and total number of marbles respectively, by the definition, the probability notation for the probability for choosing a green marble is given as [tex]P(G)=\frac{n(G)}{n(T)}[/tex].

Learn more about probability notation here:

https://brainly.com/question/22159331

simplify (4+√3)(4-√3)

Answers

Answer:

13

Step-by-step explanation:

(4+√3)(4-√3) = (4)^2-(√3)^2 =16-3 = 13

Answer:

Step-by-step explanation:

(a + b)(a -b) =a² - b²

a = 4 and  b = √3

(4 + √3)(4 - √3)= 4² - (√3)²

                        = 16 - √3*√3

                        = 16 - 3

                        =  13

Decide !!!!!!!!!!!!!!!!!!

Answers

Make note of the coefficients in the first and fourth equations. They've been conveniently picked so that subtracting one equation from the other eliminates every variable but t. We have

(3r + 2s + t + 2u + 3v) - (3r + 2s + 3t + 2u + 3v) = 7 - 17

-2t = -10

t = 5

Find C to two decimal places and find the measurement of angle be use your calculator

Answers

Let's solve

P=8B=5

Using Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto c^2=8^2+5^2[/tex]

[tex]\\ \sf\longmapsto c^2=64+25[/tex]

[tex]\\ \sf\longmapsto c^2=89[/tex]

[tex]\\ \sf\longmapsto c=\sqrt{89}[/tex]

[tex]\\ \sf\longmapsto c\approx 9.22[/tex]

Given the quadratic equation (x + p)²=49,where p is a constant,find the values of p if one of the roots of the equation is 4.
Pls help me,will mark as the brainliest.​

Answers

Answer:

-11, 3

Step-by-step explanation:

We know one of the roots are

[tex](x+ 4) {}^{2} = 49[/tex]

[tex]x + 4 = - 7[/tex]

[tex]x + 4 = 7[/tex]

[tex]x = - 11[/tex]

or

[tex]x = 3[/tex]

Uma maneira de realizar a operação 9972 - 9 de forma rápida e correta é calculando 1 000 * 994, que é igual a 994 000. A igualdade que justifica esse fato está expressa em:

a) (a + b)² = a² + b² + 2ab
//
b) a² - b² = (a + b)(a - b)
//
c) a² - b² = (a - b)²
//
d) (a - b)² = a² - 2ab + b²
//
e) a² - b² = 1 000(a + b)

Answers

Answer:

a)

Step-by-step explanation:

The library has 2,730 books. If each shelf can hold 30 books, how many shelves will the library need to hold all of its books?

Answers

91 shelves are needed in the library

Answer:

2730÷30=91

Step-by-step explanation:

take the number of books and divide it by the number of books each shelve can hold and ull get ur answer

Please show your work
[tex]1\frac{2}{3} + 2\frac{3}{4}[/tex]

Answers

Answer:

[tex]→1 \frac{2}{3} + 2 \frac{3}{4} \\ = \frac{5}{3} + \frac{11}{4} \\ = \frac{20 + 33}{12} \\ = \frac{53}{12}\\ =\boxed{4\frac{5}{12}}✓[/tex]

53/12 is the right answer.

Steps:

1 2/3 + 2 3/4 can also be written as...

5/3 + 11/4

The LCD is 12 so we make both fractions have a denominator of 12.

That gives us 20/12+33/12

Now you can add the numerators (but leave the denominator the same)

That gives us 53/12, but our simplified version would give us 4 5/12 as our final answer.

Answer:

[tex]4\frac{5}{12\\}[/tex]

Please mark brainliest if that helps!

Elliot is 2 times as old as Tanya. 10 years ago, Elliot was 4 times as old as Tanya​. How old is Elliot now?

Answers

Answer:

Step-by-step explanation:

To solve this, we are going to make an age table:

                       Age Now                 Age 10 years ago

Tanya

Elliot

Filling the in the Age Now column comes from the first sentence. If Elliot is 2 times Tanya's age and we don't know Tanya's age, then Tanya's age is x and Elliot's age is 2x:

            Age Now                Age 10 years ago

Tanya         x

Elliot         2x

Filling in the Age 10 years ago column simply requires that we take their ages in the Age Now column and subtract 10 from each age:

         Age Now                Age 10 years ago

Tanya     x                              x - 10

Elliot      2x                           2x - 10

Since the question is How old is Elliot now based on the fact that 10 years ago....blah, blah, blah, we are using the ages in the 10 years ago column to write our equation. It says:

10 years ago, Elliot was 4 times as old as Tanya. Translated into mathspeak:

2x - 10 = 4(x - 10) and

2x - 10 = 4x - 40 and

-2x = -30 so

x = 15. That means that Elliot is 30 and Tanya is 15

PLEASE HELP!!!!!!!
Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
A. 3x and -2x
B. 3x, -2x and 5x2
C. 3x, 3xy, -2x and 5y
D. All terms are alike.

Answers

Answer:

C

Step-by-step explanation:

A the answer is A because they have the same ending

could someone help me ASAP, thanks !!

Answers

Answer:

I think this is the right answer but last two signs are incorrect

Hope this will help

Answer:

i dont know

Step-by-step explanation:

(10x²+19x+6) ÷(5x+2)​

Answers

Answer:

2x + 3

Step-by-step explanation:

(10x² + 19x + 6) ÷ (5x + 2)​ =

= (10x² + 15x + 4x + 6) ÷ (5x + 2)​

= [5x(2x + 3) + 2(2x + 3)] ÷ (5x + 2)​

= [(5x + 2)(2x + 3)] ÷ (5x + 2)​

= 2x + 3

Answer:

2x+3 is your answer

This equation shows how the total number of necklaces Denise owns is related to the amount of money she spends on additional necklaces.

n = d + 74

The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $16 to spend on new necklaces, how many total necklaces can Denise own?

Answers

Answer:

16+74

Step-by-step explanation:

substitute 16 into the equation

Answer: n=90

d=16 so n= 16+74

please mark brainliest

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each set of vertices with the type of quadrilateral they form.

Answers

I'm sorry but there's not enough info

Step-by-step explanation:

Answer:

The triangle with vertices A (2 , 0) , B (3 , 2) , C (5 , 1) is isosceles right Δ

The triangle with vertices A (-3 , 1) , B (-3 , 4) , C (-1 , 1) is right Δ

The triangle with vertices A (-5 , 2) , B (-4 , 4) , C (-2 , 2) is acute scalene Δ

The triangle with vertices A (-4 , 2) , B (-2 , 4) , C (-1 , 4) is obtuse scalene Δ

ILL GIVE POINTS!!

Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is pi/3 What is the length of the third side of the
triangle?
A. sqrt13
B. 4sqrt3
C. sqrt3
D. 3

Answers

Answer:

no A

Step-by-step explanation:

sqrt13 is the ans

hope it helps

calculate the speed, in ms-¹ of vehicle A and of vehicle B​

Answers

9514 1404 393

Answer:

A: 0.32 m/sB: 0.56 m/s

Step-by-step explanation:

The speed is the ratio of the change in distance to the corresponding change in time.

Vehicle A moves from a position of 12 m to one of 28 m in 50 seconds, so its speed is ...

  A = (28 -12)/50 m/s = 16/50 m/s = 0.32 m/s

Vehicle B moves from 0 to 28 m in 50 seconds, so its speed is ...

  B = (28 m)/(50 s) = 0.56 m/s

Can someone help me on this math question its confusing ill give brainly when right!!!

Answers

Answer:

x=5

Step-by-step explanation:

x=[tex]\sqrt{25}[/tex]

x=5

Solve the simultaneous equations
! ! 5x+3y=41
! ! 2x+3y=20

Answers

Answer:

1) x= 7 and y =2

Step-by-step explanation:

mark me as brainliest please

Answer:

x =7

y =2

eqn 1 - eqn2

5x-2x=3x

3y-3y=0

41-20=21

3x=21

x=7

in eqn 1;

5×7)+3y=41

35+3y=41

3y=6

y=2

Triangles and angles
Pls help

Answers

Answer:

The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.

So we have:

32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)

32 + 2x = 180 (combine the 2 x's together)

2x = 148 (subtract a 32 from both sides)

x = 74

Let me know if this helps!

ASAP !
Determine the value of x.
Question 1 options:

A: x = 2


B: x = 2.5


C: x = 1


D: x = 2.9

Answers

Answer:

x=2

Step-by-step explanation:

We can use the Pythagorean theorem since this makes a right triangle

a^2+b^2 = c^2

The radius is 1.5

1.5^2 + x^2 = (1+1.5)^2

1.5^2 +x^2 = 2.5^2

2.25+x^2=6.25

Subtract 2.25 from each side

x^2 = 4

Taking the square root of each side

x= 2

Answer:A

Step-by-step explanation:Took quiz

Can someone please help me with these 4 questions?

Answers

16. Is 77=x
Sqrt 2x+15=13
169=2x+15
154=2x
77=x

Can you help me please please correct my

Answers

Answer:

a = m/c

~~~~~~~~~~~~~~~~~~~~~~~

m=ca

divide both sides by c

you get a = m/c

Step-by-step explanation:

Answer:

a = m/c

Step-by-step explanation:

m = ca

divide both sides by c

m/c = ca/c

m/c = a

:.a = m/c

Which of the following have a total of 8 possible outcomes? Check all that apply.

Answers

Answer:

Probably the first three answers

Step-by-step explanation:

The rest are

4) 3×5=15 (which is not 8)

5) 6×2=12 (≠8)

So it's just the first three

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