MATHEMATICS HIGH SCHOOL

Mary deposited $350 in a bank account that promises 2.8 percent interest compounded continuously. Approximately how many years will it take to reach a balance of $500?

Answers

Answer 1

Answer:

Answer:

The time taken to reach the balance is approximately 13 years.

Step-by-step explanation:

Given : Mary deposited $350 in a bank account that promises 2.8 percent interest compounded continuously.

To find : How many years will it take to reach a balance of $500?

Solution :

The formula of compounded continuously is

$A=Pe^(rt)$

Where, A is the amount A=$500

P is the principal P=$350

r is the interest rate r=2.8%=0.028

t is the time in year.

Substitute the values in the formula,

$500=350* e^(0.028* t)$

$(500)/(350)=e^(0.028* t)$

$1.42=e^(0.028* t)$

Taking log both side,

$\ln 1.42=0.028* t$

$0.356=0.028* t$

$t=(0.356)/(0.028)$

$t=12.71$

The time taken to reach the balance is approximately 13 years.

Answer 2

Answer: You use the formula
A= Pe^rt for continuously compounded interest.
500=350e^(.028*t)
Divide both sides by 350
(10/7)=e^(.028t)
Take the natural log of both sides to clear the e.
Ln (10/7)=.028t
Divide both sides by .028
Ln (10/7)/.028 =t
12.75 years

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A teacher wants to arrange 16 chairs in equal rows in his classroom. How can he arrange the chairs? () in 4 rows, with 20 chairs in each row () in 2 rows, with 8 chairs in each row » In Brows, with 8 chairs in each row () in 3 rows, with 5 chairs in each row My Progress Sign out

Answers

The possible arrangement can be done as -

2 rows, with 8 chairs in each row.
4 rows, with 4 chairs in each row.
8 rows, with 2 chairs in each row.

What is a Arrangement? What is equation modelling? What is a mathematical equation and expression?

Arrangement numbers, more commonly called permutation numbers, or simply permutations, are the number of ways that a number of things can be ordered or arranged.
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

A mathematical equation is used to equate two expressions.

Given is that a teacher wants to arrange 16 chairs in equal rows in his classroom.

The possible arrangement can be done as -

2 rows, with 8 chairs in each row.
4 rows, with 4 chairs in each row.
8 rows, with 2 chairs in each row.

Therefore, the possible arrangement can be done as -

2 rows, with 8 chairs in each row.
4 rows, with 4 chairs in each row.
8 rows, with 2 chairs in each row.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

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Answer:

In 2 rows with 8 chairs in each row.

Step-by-step explanation:

2×8=16

Prove the identity
2sin^2x - 1 = sin^2x - cos^2x

Answers

Hello,

sin² x-cos² x=sin² x-(1-sin² x)=2sin² x-1
==============================

From the trigonometric identity:

$cos^(2)x + sin^(2) x$ =1
Making $sin^(2)$ x the subject we get:
$sin^(2)$ x=1- $cos^(2)$ x
On evaluating the left hand side and replacing $sin^(2)$ x with 1- $cos^(2)$ x;
2(1- $cos^(2)$ x)-1
This gives

=2-2 $cos^(2)x$ -1
=1-2 $cos^(2)$ x
From the identity in $cos^(2)$ x+ $sin^(2)$ x=1, replace 1 in the equation to get;
$cos^(2)$ x+ $sin^(2)$ x-2 $cos^(2)$ x
= $sin^(2)$ 2x- $cos^(2)$ x

Simplify 6(x + y) + (x - y). 6x 7x 7x + 6y 7x + 5y

Answers

-6x^15y+6x^16+6xy^7+11y+6x ? I'm not sure if that is 100% right.

There are 10 marbles in a bag, and the marbles are either red or blue. Eric will randomly choose two marbles from the bag, without replacing the first one. If the probability of both marbles' being red is 2
15, how many RED marbles are in the bag?

Answers

Let the number of red marbles be r. Now we can write the equation:
$(r)/(10)*(r-1)/(9)=(2)/(15)$
Rearranging the above equation and simplifying gives the quadratic:
$r^(2)-r-12=0$
which factorizes to:
(r - 4)(r + 3) = 0
Therefore r = 4. there are 4 RED marbles in the bag.

Answer:

Step-by-step explanation:

BECAUSE.

Can somebody please help me with this question. Giving lots of points.

Answers

Answer:

x-multiple choice

y- short response

23x+10y=86

28x+5y=76 /×(-2)

23x+10y=86

-56x-10y=-152

-33x=-66

x=2

10y=86-46

10y=40

y=4

multiple choice=2 points

short responce =4points

Jonah has 3 red marbles, 2 blue marbles, 6 green marbles, and 6 yellow marbles in a bag. If he draws a marble from the bag without looking, which color will he LEAST likely draw?

Answers

Answer:

blue

Step-by-step explanation:

He will be least likely to draw a marble that has the smallest number of that color in the bag

3 red marbles, 2 blue marbles, 6 green marbles, and 6 yellow marbles

The color with the smallest number is blue, so he will be least likely to draw a blue.

Answer:Should be blue because there is only 2 outta the total of 17 marbles.

Step-by-step explanation:

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