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3 years ago

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Hello Everyone! If you are having any difficulties in Math book D1 and D2, then do tell me in the channel discussion section. I'

ll be happy to respond to all your math queries. I will be uploading videos with clear explanations in order to clear your concepts.

1 answer:

Mademuasel [1]3 years ago

4 0

Answer:

h

Step-by-step explanation:

b

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About how much difference in average leaf width would you find in two forests whose average annual rainfalls are near 1500 mm bu

goblinko [34]

Answer:

4.80 mm to 2 d.p

Step-by-step explanation:

w = f(r)

f'(r) = (dw/dr) = (0.0218 mm/mm)

So, for a small difference in rainfall of 220 mm, what is the corresponding small difference in width of leaves in the two forests given.

One definition of a derivative or a rate of change is that it is the ratio of very small differences in the dependent variable to very small differences in the independent variable.

Mathematically,

(dw/dr) = (Δw/Δr) for very small Δw and Δr.

0.0218 = (Δw/220)

Δw = 0.0218 × 220 = 4.796 mm = 4.80 mm to 2 d.p

Hope this Helps!!!

5 0

3 years ago

A package of 30 scented pencils costs $24.90. At this rate, what is the

masya89 [10]

Answer:

.83 cents

Step-by-step explanation:

8 0

3 years ago

Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Nelson owes $950

OLga [1]

Answer:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

Step-by-step explanation:

Calculation to determine the sequences that describes his increasing monthly balance

Based on the information given in order for us to determine the sequence we have to multiply the amount owes by the interest rate and then add back the answer you got to the previous amount you multiplied the interest rate to.

First sequence will be the amount he owes on a credit which is $950

Second sequence

950 * .018 = 171.00

950 + 171.00 = 1121.00

Third sequence

1121.00 * .018 = 201.78

1121.00 + 201.78 = 1322.78

Fourth sequence

1322.78*0.18=238.10

1322.78+238.10=1,560.88

Last sequence

1,560.88*0.18=280.96

1,560.88+280.96=1,841.84

Therefore the sequences that describes his increasing monthly balance are:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

8 0

3 years ago

Use the quadratic formula to solve for x. 4x2 +9x-1=0

insens350 [35]

Answer:

$x=\frac{-9\pm\sqrt{65} }{8}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

<u>Step 1: Define</u>

4x² + 9x - 1 = 0

<u>Step 2: Define variables</u>

a = 4

b = 9

c = -1

<u>Step 3: Find roots</u>

Substitute: $x=\frac{-9\pm\sqrt{9^2-4(4)(-1)} }{2(4)}$
Exponents: $x=\frac{-9\pm\sqrt{81-4(4)(-1)} }{2(4)}$
Multiply: $x=\frac{-9\pm\sqrt{81-16} }{8}$
Subtract: $x=\frac{-9\pm\sqrt{65} }{8}$

5 0

3 years ago

A certain college graduate borrows 5510 dollars to buy a car. The lender charges interest at an annual rate of 17%. Assuming tha

Diano4ka-milaya [45]

Answer:

His annual payment rate required to pay off the loan in 7 years is $k = $2362.41$ a year.

He has to pay $11026.85 in interest

Step-by-step explanation:

The first step to solve this problem is find how much the student will have to pay for the car. So, we have to find how much the present value of the car(in $) will be worth in 7 years. This is a compound interest problem:

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this exercise, we have:

A = The value we want to find

P = The initial value = 5510

r = 0.17

n = 1

t = 7

So

$A = 5510(1 + \frac{0.17}{1})^{7}$

$A = $16536.85$

In a seven year period, he has to pay $16536.85. Per year, he has to pay a rate k of:

$k = \frac{16536.85}{7} = $2362.41$

His annual payment rate required to pay off the loan in 7 years is $k = $2362.41$

How much does he pay in interest?

His loan is $5510 and he has to pay $16536.85. So, in interest, he has to pay $16536.85 - 5510 = $11026.85$

5 0

3 years ago