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Mila [183]
3 years ago
11

Loretta picks apples for her grandfather to make apples cider. she brings him her cart with 420 apples. her grandfather smiles a

t her and says thank you loretta. that is 35% of the apples that we need
Mathematics
1 answer:
Musya8 [376]3 years ago
7 0
So you need1200 more apples
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Step-by-step explanation:

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3 years ago
Compound interest In Exercise,$3000 is invested in an account at interest rate r,compounded continuously.Find the time required
xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

Given: P = $3000, r = 0.085

                A = Pe^{rt}

Where

A is the Amount

P is the Principal

r is the rate

t is the time

(a) For the amount to double, A = 2 × P

               A = 2 × $3000

               A = $6000

               6000 = 3000e^{0.085t}

               \frac{6000}{3000} = e^{0.085t}

               2 = e^{0.085t}

Take log_{e} of both sides

               log_{e}2 = log_{e}e^{0.085t}

But log_{e}e = 1

            ∴ ln2 = 0.085t

               t = \frac{ln2}{0.085}

               t = \frac{0.693}{0.085}

               t = 8.15

(b) For the amount to double, A = 3 × P

               A = 3 × $3000

               A = $9000

               9000 = 3000e^{0.085t}

               \frac{9000}{3000} = e^{0.085t}

               3 = e^{0.085t}

Take log_{e} of both sides

               log_{e}3 = log_{e}e^{0.085t}

But log_{e}e = 1

            ∴ ln3 = 0.085t

               t = \frac{ln3}{0.085}

               t = \frac{1.0986}{0.085}

               t = 12.92

5 0
3 years ago
If P=(2,-1),find the image of P under the following rotation. 180 degrees counterclockwise about the origin
vichka [17]

9514 1404 393

Answer:

  (-2, 1)

Step-by-step explanation:

Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.

  (x, y) ⇒ (-x, -y) . . . . . rotation 180°

  (2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P

The coordinates of the rotated point are (-2, 1).

3 0
3 years ago
I need a answer to 77.5% of 13.270​
den301095 [7]

Answer:

10.28425

Step-by-step explanation:

4 0
3 years ago
A + 2 ÷ -24 = -4 what does A equal​
sergeinik [125]

Step-by-step explanation:

A + 2 ÷ (-24) = -4

A - 1/12 = -4

A = -4 + 1/12

A = -48/12 + 1/12

A = -47/12

A ≈ -3,91

4 0
3 years ago
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